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Finding the Third Proportional to 349,562 and 534,531

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Solution

The third proportional to 349,562 and 534,531 is: 817,375.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,562 : 534,531 = 534,531 : x
  2. Step 2: Convert to fraction form
    349,562/534,531 = 534,531/x
  3. Step 3: Cross multiply
    349,562x = 534,531 × 534,531
  4. Step 4: Simplify right side
    349,562x = 285,723,389,961
  5. Step 5: Solve for x
    x = 285,723,389,961/349,562
  6. Step 6: Final answer
    x = 817,375.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.