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Finding the Third Proportional to 311,552 and 466,805

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Solution

The third proportional to 311,552 and 466,805 is: 699,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,552 : 466,805 = 466,805 : x
  2. Step 2: Convert to fraction form
    311,552/466,805 = 466,805/x
  3. Step 3: Cross multiply
    311,552x = 466,805 × 466,805
  4. Step 4: Simplify right side
    311,552x = 217,906,908,025
  5. Step 5: Solve for x
    x = 217,906,908,025/311,552
  6. Step 6: Final answer
    x = 699,423.88

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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.