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Finding the Third Proportional to 442,228 and 667,041

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Solution

The third proportional to 442,228 and 667,041 is: 1,006,140.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,228 : 667,041 = 667,041 : x
  2. Step 2: Convert to fraction form
    442,228/667,041 = 667,041/x
  3. Step 3: Cross multiply
    442,228x = 667,041 × 667,041
  4. Step 4: Simplify right side
    442,228x = 444,943,695,681
  5. Step 5: Solve for x
    x = 444,943,695,681/442,228
  6. Step 6: Final answer
    x = 1,006,140.94

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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.