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Finding the Third Proportional to 546,862 and 731,683

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Solution

The third proportional to 546,862 and 731,683 is: 978,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,862 : 731,683 = 731,683 : x
  2. Step 2: Convert to fraction form
    546,862/731,683 = 731,683/x
  3. Step 3: Cross multiply
    546,862x = 731,683 × 731,683
  4. Step 4: Simplify right side
    546,862x = 535,360,012,489
  5. Step 5: Solve for x
    x = 535,360,012,489/546,862
  6. Step 6: Final answer
    x = 978,967.29

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Why These Related Problems?

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