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Finding the Third Proportional to 406,098 and 597,375

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Solution

The third proportional to 406,098 and 597,375 is: 878,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,098 : 597,375 = 597,375 : x
  2. Step 2: Convert to fraction form
    406,098/597,375 = 597,375/x
  3. Step 3: Cross multiply
    406,098x = 597,375 × 597,375
  4. Step 4: Simplify right side
    406,098x = 356,856,890,625
  5. Step 5: Solve for x
    x = 356,856,890,625/406,098
  6. Step 6: Final answer
    x = 878,745.75

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.