Below is the basic diagram for the most simple of the soft-start circuits.
It's disadvantage is that the capacitor takes time to discharge on it's own, based on whatever the resistance from signal to ground is inside the controller. That means that in addition to soft-start, it also kind of has a soft-stop.
In theory you can place a small-value resistor in parallel with the capacitor to discharge it faster, but at that point you wind up with a current drain thru the throttle, the first resistor, and the second one, and you have to ensure that isnt' beyond the ratings of the hall sensor in the throttle to handle. I don't know what the typical ratings are for those things, so I'd hate to hazard a guess as the the second resistor value might be safely lowered to, but it depends on the first resistor's value.
For the first resistor, and capacitor, something high for resistance, like 100Kohm, and low for capacitance, like 50nF, should be viable for a delay that would ramp from 0-full on (assuming you slam on the throttle from nothing) in more than half a second (probably closer to a full second), with the response being faster for the first part and slowly getting closer to full after that.
I have been trying to remember exactly how to calculate out the time delay created, but my brain is not working even as well as it usually does, so not only can't I remember the formula, I also can't figure out how to apply it. It's here:
http://en.wikipedia.org/wiki/RC_circuit#Series_circuit
with the first formula being the one that matters to us here.
There is a simple equation I used to know for figuring out what capacitor to use for what amount of "delay", based on knowing the resistor and the starting and final voltages. But I can't remember it nor find it on the web.

I'm sure someone has a calculator out there on a page, too, but I can't find that either.
Some days (or even weeks) I'm just not much use.
EDIT: A much better way to do this is using an op-amp, but again, I can't remember enough right now to put anything useful up.