  We study duality in $\mathcal{N}=1$ supersymmetric QCD in the non-Abelian
Coulomb phase, order-by-order in scheme-independent series expansions. Using
exact results, we show how the dimensions of various fundamental and composite
chiral superfields, and the quantities $a$, $a/c$, and $b$ at superconformal
fixed points of the renormalization group emerge in scheme-independent series
expansions in the electric and magnetic theories. We further demonstrate that
truncations of these series expansions to modest order yield very accurate
approximations to these quantities.
