
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
Given that Debby has three containers, the initial container is $\frac{3}{5}$ full, and she pours all this water into a second container which becomes $\frac{2}{3}$ full; then she transfers water from the second container into a third container until the third container is $\frac{1}{2}$ full, find the ratio of the volume of the second container to the volume of the third container.

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