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Finding the Third Proportional to 323,736.75 and 756,145.13

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Solution

The third proportional to 323,736.75 and 756,145.13 is: 1,766,112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,736.75 : 756,145.13 = 756,145.13 : x
  2. Step 2: Convert to fraction form
    323,736.75/756,145.13 = 756,145.13/x
  3. Step 3: Cross multiply
    323,736.75x = 756,145.13 × 756,145.13
  4. Step 4: Simplify right side
    323,736.75x = 571,755,450,061.27
  5. Step 5: Solve for x
    x = 571,755,450,061.27/323,736.75
  6. Step 6: Final answer
    x = 1,766,112.28

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.