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Finding the Third Proportional to 253,524 and 379,496

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Solution

The third proportional to 253,524 and 379,496 is: 568,061.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,524 : 379,496 = 379,496 : x
  2. Step 2: Convert to fraction form
    253,524/379,496 = 379,496/x
  3. Step 3: Cross multiply
    253,524x = 379,496 × 379,496
  4. Step 4: Simplify right side
    253,524x = 144,017,214,016
  5. Step 5: Solve for x
    x = 144,017,214,016/253,524
  6. Step 6: Final answer
    x = 568,061.46

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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.