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Finding the Third Proportional to 419,438 and 667,162

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Solution

The third proportional to 419,438 and 667,162 is: 1,061,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,438 : 667,162 = 667,162 : x
  2. Step 2: Convert to fraction form
    419,438/667,162 = 667,162/x
  3. Step 3: Cross multiply
    419,438x = 667,162 × 667,162
  4. Step 4: Simplify right side
    419,438x = 445,105,134,244
  5. Step 5: Solve for x
    x = 445,105,134,244/419,438
  6. Step 6: Final answer
    x = 1,061,194.11

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.