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Finding the Third Proportional to 311,684 and 467,398

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Solution

The third proportional to 311,684 and 467,398 is: 700,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,684 : 467,398 = 467,398 : x
  2. Step 2: Convert to fraction form
    311,684/467,398 = 467,398/x
  3. Step 3: Cross multiply
    311,684x = 467,398 × 467,398
  4. Step 4: Simplify right side
    311,684x = 218,460,890,404
  5. Step 5: Solve for x
    x = 218,460,890,404/311,684
  6. Step 6: Final answer
    x = 700,905.05

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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.