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Finding the Third Proportional to 442,132.50 and 667,401

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Solution

The third proportional to 442,132.50 and 667,401 is: 1,007,444.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,132.50 : 667,401 = 667,401 : x
  2. Step 2: Convert to fraction form
    442,132.50/667,401 = 667,401/x
  3. Step 3: Cross multiply
    442,132.50x = 667,401 × 667,401
  4. Step 4: Simplify right side
    442,132.50x = 445,424,094,801
  5. Step 5: Solve for x
    x = 445,424,094,801/442,132.50
  6. Step 6: Final answer
    x = 1,007,444.82

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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.