将近 indicates that a date or an age is approaching. It can also indicate that either a certain amount or weight is almost reached.
将近 is placed before numerals.
Examples
她将近六十岁了
She is almost 60 years old
tā jiāngjìn liùshí suì le
我那时每天吃将近一磅奶酪
At the time, I ate almost four pounds of cheese a day
wǒ nà shí měi tiān chī jiāngjìn yí bàng nǎilào
他有将近四分之一的选民的支持
Almost a quarter of the voters supported him
tā yǒu jiàng jìn sì fēn zhī yí de xuǎnmín de zhīchí
The adverb 将要
将要 is often used to indicate that a certain action or phenomenon is going to happen.
将要 is placed before a verb used as a predicate.