Monopolizes rhymes with:
analyzes, brutalizes, capitalizes, crystallizes, demobilizes, departmentalizes, equalizes, fertilizes, finalizes, formalizes, idolizes, liberalizes, marginalizes, materializes, nationalizes, naturalizes, neutralizes, normalizes, paralyzes, penalizes, personalizes, realizes, sterilizes, tantalizes, trivializes, utilizes
Monopolizes sounds like:
maniples, manville's, maples, minneapolis, minneapolis's, mobil's, mobile's, mobiles, mobilize, monfils, monopoles, monopolies, monopolize, muffles, mumbles