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Finding the Third Proportional to 311,548 and 466,799

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Solution

The third proportional to 311,548 and 466,799 is: 699,414.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,548 : 466,799 = 466,799 : x
  2. Step 2: Convert to fraction form
    311,548/466,799 = 466,799/x
  3. Step 3: Cross multiply
    311,548x = 466,799 × 466,799
  4. Step 4: Simplify right side
    311,548x = 217,901,306,401
  5. Step 5: Solve for x
    x = 217,901,306,401/311,548
  6. Step 6: Final answer
    x = 699,414.88

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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.