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Finding the Third Proportional to 278,687 and 387,772

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Solution

The third proportional to 278,687 and 387,772 is: 539,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,687 : 387,772 = 387,772 : x
  2. Step 2: Convert to fraction form
    278,687/387,772 = 387,772/x
  3. Step 3: Cross multiply
    278,687x = 387,772 × 387,772
  4. Step 4: Simplify right side
    278,687x = 150,367,123,984
  5. Step 5: Solve for x
    x = 150,367,123,984/278,687
  6. Step 6: Final answer
    x = 539,555.57

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