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Finding the Third Proportional to 478,909 and 720,375

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Solution

The third proportional to 478,909 and 720,375 is: 1,083,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,909 : 720,375 = 720,375 : x
  2. Step 2: Convert to fraction form
    478,909/720,375 = 720,375/x
  3. Step 3: Cross multiply
    478,909x = 720,375 × 720,375
  4. Step 4: Simplify right side
    478,909x = 518,940,140,625
  5. Step 5: Solve for x
    x = 518,940,140,625/478,909
  6. Step 6: Final answer
    x = 1,083,588.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.