Let $$ABCD$$ be a parallelogram. Extend $$\overline{DA}$$ through $$A$$ to a point $$P,$$ and let $$\overline{PC}$$ meet $$\overline{AB}$$ at $$Q$$ and $$\overline{DB}$$ at $$R.$$ Given that $$PQ = 735$$ and $$QR = 112,$$ find $$RC.$$

(第十六届AIME1998 第6题)