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Finding the Third Proportional to 311,550 and 466,802

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Solution

The third proportional to 311,550 and 466,802 is: 699,419.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,550 : 466,802 = 466,802 : x
  2. Step 2: Convert to fraction form
    311,550/466,802 = 466,802/x
  3. Step 3: Cross multiply
    311,550x = 466,802 × 466,802
  4. Step 4: Simplify right side
    311,550x = 217,904,107,204
  5. Step 5: Solve for x
    x = 217,904,107,204/311,550
  6. Step 6: Final answer
    x = 699,419.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.