
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
Points $R$ and $S$ divide line segment $CD$ such that $R$ divides $CD$ in the ratio $3:5$ and $S$ divides $CD$ in the ratio $4:7$. If the distance between $R$ and $S$ is $3$ units, find the length of $CD$.
A) 252 units
B) 264 units
C) 275 units
D) 290 units

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