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Finding the Third Proportional to 442,344 and 667,181

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Solution

The third proportional to 442,344 and 667,181 is: 1,006,299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,344 : 667,181 = 667,181 : x
  2. Step 2: Convert to fraction form
    442,344/667,181 = 667,181/x
  3. Step 3: Cross multiply
    442,344x = 667,181 × 667,181
  4. Step 4: Simplify right side
    442,344x = 445,130,486,761
  5. Step 5: Solve for x
    x = 445,130,486,761/442,344
  6. Step 6: Final answer
    x = 1,006,299.37

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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.