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)