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Finding the Third Proportional to 399,027 and 861,360

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Solution

The third proportional to 399,027 and 861,360 is: 1,859,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,027 : 861,360 = 861,360 : x
  2. Step 2: Convert to fraction form
    399,027/861,360 = 861,360/x
  3. Step 3: Cross multiply
    399,027x = 861,360 × 861,360
  4. Step 4: Simplify right side
    399,027x = 741,941,049,600
  5. Step 5: Solve for x
    x = 741,941,049,600/399,027
  6. Step 6: Final answer
    x = 1,859,375.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.