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Finding the Third Proportional to 252,927 and 381,060

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Solution

The third proportional to 252,927 and 381,060 is: 574,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,927 : 381,060 = 381,060 : x
  2. Step 2: Convert to fraction form
    252,927/381,060 = 381,060/x
  3. Step 3: Cross multiply
    252,927x = 381,060 × 381,060
  4. Step 4: Simplify right side
    252,927x = 145,206,723,600
  5. Step 5: Solve for x
    x = 145,206,723,600/252,927
  6. Step 6: Final answer
    x = 574,105.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.