Well, you have to know all the inversions. However, to use the example you do - if you're playing in Cmaj, the typical chords are C, F, and G (or G7). If you play the C triad as CEG, and the F as CFA, then by all means play the G as DGB. (Or if G7, DFG

These require minimum hand movement and the same combination will be true in other keys.
Gerry