to apply for; to make an application; to propose (marriage); to offer (mediation); to make an overture (of peace); to challenge; to lodge (objections); to request (an interview); to subscribe for; to book; to reserve
to cut into (a line, conversation, etc.); to force oneself into (e.g. a crowd); to wedge oneself into; to squeeze oneself into; to intrude on; to interrupt
to fall below (of stock prices, sales, etc.); to drop below