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Finding the Third Proportional to 311,538 and 466,788

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Solution

The third proportional to 311,538 and 466,788 is: 699,404.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,538 : 466,788 = 466,788 : x
  2. Step 2: Convert to fraction form
    311,538/466,788 = 466,788/x
  3. Step 3: Cross multiply
    311,538x = 466,788 × 466,788
  4. Step 4: Simplify right side
    311,538x = 217,891,036,944
  5. Step 5: Solve for x
    x = 217,891,036,944/311,538
  6. Step 6: Final answer
    x = 699,404.36

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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.