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Finding the Third Proportional to 546,866 and 731,689

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Solution

The third proportional to 546,866 and 731,689 is: 978,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,866 : 731,689 = 731,689 : x
  2. Step 2: Convert to fraction form
    546,866/731,689 = 731,689/x
  3. Step 3: Cross multiply
    546,866x = 731,689 × 731,689
  4. Step 4: Simplify right side
    546,866x = 535,368,792,721
  5. Step 5: Solve for x
    x = 535,368,792,721/546,866
  6. Step 6: Final answer
    x = 978,976.19

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.