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Finding the Third Proportional to 240,982 and 523,448

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Solution

The third proportional to 240,982 and 523,448 is: 1,137,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,982 : 523,448 = 523,448 : x
  2. Step 2: Convert to fraction form
    240,982/523,448 = 523,448/x
  3. Step 3: Cross multiply
    240,982x = 523,448 × 523,448
  4. Step 4: Simplify right side
    240,982x = 273,997,808,704
  5. Step 5: Solve for x
    x = 273,997,808,704/240,982
  6. Step 6: Final answer
    x = 1,137,005.29

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.