
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The digits of a certain three-digit number form a geometric progression. If the digits of the hundreds and units places in this number are swapped, the new three-digit number will be 594 less than the original number. If in the original number, the hundreds digit is removed and the remaining two-digit number's digits are swapped, the new two-digit number will be 18 less than the number formed by the last two digits of the original number. Find this number.

Present the answer in LaTex format: \boxed{Your answer}
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