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Finding the Third Proportional to 467,872 and 743,800

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Solution

The third proportional to 467,872 and 743,800 is: 1,182,456.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,872 : 743,800 = 743,800 : x
  2. Step 2: Convert to fraction form
    467,872/743,800 = 743,800/x
  3. Step 3: Cross multiply
    467,872x = 743,800 × 743,800
  4. Step 4: Simplify right side
    467,872x = 553,238,440,000
  5. Step 5: Solve for x
    x = 553,238,440,000/467,872
  6. Step 6: Final answer
    x = 1,182,456.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.