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Finding the Third Proportional to 394,314 and 861,600

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Solution

The third proportional to 394,314 and 861,600 is: 1,882,648.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,314 : 861,600 = 861,600 : x
  2. Step 2: Convert to fraction form
    394,314/861,600 = 861,600/x
  3. Step 3: Cross multiply
    394,314x = 861,600 × 861,600
  4. Step 4: Simplify right side
    394,314x = 742,354,560,000
  5. Step 5: Solve for x
    x = 742,354,560,000/394,314
  6. Step 6: Final answer
    x = 1,882,648.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.