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Finding the Third Proportional to 534,252 and 763,932

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Solution

The third proportional to 534,252 and 763,932 is: 1,092,353.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,252 : 763,932 = 763,932 : x
  2. Step 2: Convert to fraction form
    534,252/763,932 = 763,932/x
  3. Step 3: Cross multiply
    534,252x = 763,932 × 763,932
  4. Step 4: Simplify right side
    534,252x = 583,592,100,624
  5. Step 5: Solve for x
    x = 583,592,100,624/534,252
  6. Step 6: Final answer
    x = 1,092,353.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.