Here's what rhymes with prognosticate.
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cage gauge cape decayed gage made laid page paid shape decade grade wage rage shade tape brigade maid rape weighed bade blockade fade grape raid sage arrayed babe arcade jade pervade stockade wade stage trade played afraid escape delayed engage stayed blade persuade prayed forbade obeyed parade surveyed unpaid cascade degrade evade scrape spade sprayed swayed upgrade barricade braid frayed sh staid strayed betrayed conveyed crusade invade dismayed repaid dissuade grenade homemade masquerade outweighed overlaid renegade displayed portrayed retrograde disobeyed lemonade promenade videotape based faced shaped taste waste faint paint haste saint waist baked chased paste quaint acquaint chaste laced paced raced raped taint debased graced raked taped placed escaped traced spaced braced draped erased scraped effaced encased staked disgraced distaste misplaced vouchsafed replaced complaint constraint displaced embraced restraint