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Finding the Third Proportional to 442,381.50 and 667,197

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Solution

The third proportional to 442,381.50 and 667,197 is: 1,006,262.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,381.50 : 667,197 = 667,197 : x
  2. Step 2: Convert to fraction form
    442,381.50/667,197 = 667,197/x
  3. Step 3: Cross multiply
    442,381.50x = 667,197 × 667,197
  4. Step 4: Simplify right side
    442,381.50x = 445,151,836,809
  5. Step 5: Solve for x
    x = 445,151,836,809/442,381.50
  6. Step 6: Final answer
    x = 1,006,262.33

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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.