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Finding the Third Proportional to 418,800 and 667,050

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Solution

The third proportional to 418,800 and 667,050 is: 1,062,453.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,800 : 667,050 = 667,050 : x
  2. Step 2: Convert to fraction form
    418,800/667,050 = 667,050/x
  3. Step 3: Cross multiply
    418,800x = 667,050 × 667,050
  4. Step 4: Simplify right side
    418,800x = 444,955,702,500
  5. Step 5: Solve for x
    x = 444,955,702,500/418,800
  6. Step 6: Final answer
    x = 1,062,453.92

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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.