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Finding the Third Proportional to 317,542 and 432,441

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Solution

The third proportional to 317,542 and 432,441 is: 588,914.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,542 : 432,441 = 432,441 : x
  2. Step 2: Convert to fraction form
    317,542/432,441 = 432,441/x
  3. Step 3: Cross multiply
    317,542x = 432,441 × 432,441
  4. Step 4: Simplify right side
    317,542x = 187,005,218,481
  5. Step 5: Solve for x
    x = 187,005,218,481/317,542
  6. Step 6: Final answer
    x = 588,914.91

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.