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Finding the Third Proportional to 561,474 and 732,313

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Solution

The third proportional to 561,474 and 732,313 is: 955,132.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,474 : 732,313 = 732,313 : x
  2. Step 2: Convert to fraction form
    561,474/732,313 = 732,313/x
  3. Step 3: Cross multiply
    561,474x = 732,313 × 732,313
  4. Step 4: Simplify right side
    561,474x = 536,282,329,969
  5. Step 5: Solve for x
    x = 536,282,329,969/561,474
  6. Step 6: Final answer
    x = 955,132.97

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.