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Finding the Third Proportional to 546,868 and 731,692

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Solution

The third proportional to 546,868 and 731,692 is: 978,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,868 : 731,692 = 731,692 : x
  2. Step 2: Convert to fraction form
    546,868/731,692 = 731,692/x
  3. Step 3: Cross multiply
    546,868x = 731,692 × 731,692
  4. Step 4: Simplify right side
    546,868x = 535,373,182,864
  5. Step 5: Solve for x
    x = 535,373,182,864/546,868
  6. Step 6: Final answer
    x = 978,980.64

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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.