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Finding the Third Proportional to 262,468.69 and 418,626.56

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Solution

The third proportional to 262,468.69 and 418,626.56 is: 667,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,468.69 : 418,626.56 = 418,626.56 : x
  2. Step 2: Convert to fraction form
    262,468.69/418,626.56 = 418,626.56/x
  3. Step 3: Cross multiply
    262,468.69x = 418,626.56 × 418,626.56
  4. Step 4: Simplify right side
    262,468.69x = 175,248,198,830.57
  5. Step 5: Solve for x
    x = 175,248,198,830.57/262,468.69
  6. Step 6: Final answer
    x = 667,691.83

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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.