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Finding the Third Proportional to 377,802 and 523,634

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Solution

The third proportional to 377,802 and 523,634 is: 725,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,802 : 523,634 = 523,634 : x
  2. Step 2: Convert to fraction form
    377,802/523,634 = 523,634/x
  3. Step 3: Cross multiply
    377,802x = 523,634 × 523,634
  4. Step 4: Simplify right side
    377,802x = 274,192,565,956
  5. Step 5: Solve for x
    x = 274,192,565,956/377,802
  6. Step 6: Final answer
    x = 725,757.32

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.