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Finding the Third Proportional to 360,529 and 565,542

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Solution

The third proportional to 360,529 and 565,542 is: 887,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,529 : 565,542 = 565,542 : x
  2. Step 2: Convert to fraction form
    360,529/565,542 = 565,542/x
  3. Step 3: Cross multiply
    360,529x = 565,542 × 565,542
  4. Step 4: Simplify right side
    360,529x = 319,837,753,764
  5. Step 5: Solve for x
    x = 319,837,753,764/360,529
  6. Step 6: Final answer
    x = 887,134.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.