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Finding the Third Proportional to 546,872 and 731,698

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Solution

The third proportional to 546,872 and 731,698 is: 978,989.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,872 : 731,698 = 731,698 : x
  2. Step 2: Convert to fraction form
    546,872/731,698 = 731,698/x
  3. Step 3: Cross multiply
    546,872x = 731,698 × 731,698
  4. Step 4: Simplify right side
    546,872x = 535,381,963,204
  5. Step 5: Solve for x
    x = 535,381,963,204/546,872
  6. Step 6: Final answer
    x = 978,989.53

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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.