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Finding the Third Proportional to 387,096 and 580,812

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Solution

The third proportional to 387,096 and 580,812 is: 871,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,096 : 580,812 = 580,812 : x
  2. Step 2: Convert to fraction form
    387,096/580,812 = 580,812/x
  3. Step 3: Cross multiply
    387,096x = 580,812 × 580,812
  4. Step 4: Simplify right side
    387,096x = 337,342,579,344
  5. Step 5: Solve for x
    x = 337,342,579,344/387,096
  6. Step 6: Final answer
    x = 871,470.07

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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.