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Finding the Third Proportional to 442,384 and 667,200

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Solution

The third proportional to 442,384 and 667,200 is: 1,006,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,384 : 667,200 = 667,200 : x
  2. Step 2: Convert to fraction form
    442,384/667,200 = 667,200/x
  3. Step 3: Cross multiply
    442,384x = 667,200 × 667,200
  4. Step 4: Simplify right side
    442,384x = 445,155,840,000
  5. Step 5: Solve for x
    x = 445,155,840,000/442,384
  6. Step 6: Final answer
    x = 1,006,265.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.