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Finding the Third Proportional to 311,034 and 466,467

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Solution

The third proportional to 311,034 and 466,467 is: 699,574.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,034 : 466,467 = 466,467 : x
  2. Step 2: Convert to fraction form
    311,034/466,467 = 466,467/x
  3. Step 3: Cross multiply
    311,034x = 466,467 × 466,467
  4. Step 4: Simplify right side
    311,034x = 217,591,462,089
  5. Step 5: Solve for x
    x = 217,591,462,089/311,034
  6. Step 6: Final answer
    x = 699,574.52

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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.