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Finding the Third Proportional to 282,624 and 424,542

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Solution

The third proportional to 282,624 and 424,542 is: 637,723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,624 : 424,542 = 424,542 : x
  2. Step 2: Convert to fraction form
    282,624/424,542 = 424,542/x
  3. Step 3: Cross multiply
    282,624x = 424,542 × 424,542
  4. Step 4: Simplify right side
    282,624x = 180,235,909,764
  5. Step 5: Solve for x
    x = 180,235,909,764/282,624
  6. Step 6: Final answer
    x = 637,723.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.