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Finding the Third Proportional to 388,449 and 580,959

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Solution

The third proportional to 388,449 and 580,959 is: 868,874.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,449 : 580,959 = 580,959 : x
  2. Step 2: Convert to fraction form
    388,449/580,959 = 580,959/x
  3. Step 3: Cross multiply
    388,449x = 580,959 × 580,959
  4. Step 4: Simplify right side
    388,449x = 337,513,359,681
  5. Step 5: Solve for x
    x = 337,513,359,681/388,449
  6. Step 6: Final answer
    x = 868,874.32

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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.