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Finding the Third Proportional to 247,546 and 371,866

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Solution

The third proportional to 247,546 and 371,866 is: 558,620.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,546 : 371,866 = 371,866 : x
  2. Step 2: Convert to fraction form
    247,546/371,866 = 371,866/x
  3. Step 3: Cross multiply
    247,546x = 371,866 × 371,866
  4. Step 4: Simplify right side
    247,546x = 138,284,321,956
  5. Step 5: Solve for x
    x = 138,284,321,956/247,546
  6. Step 6: Final answer
    x = 558,620.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.