
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
A three-inch cube ($3\times3\times3$) of titanium weighs 5 pounds and is worth $\$300$. How much is a five-inch cube of titanium worth? Assume that, due to material characteristics, the price weight ratio increases by 20% with every inch increase in dimension.

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