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Finding the Third Proportional to 324,874 and 487,311

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Solution

The third proportional to 324,874 and 487,311 is: 730,966.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,874 : 487,311 = 487,311 : x
  2. Step 2: Convert to fraction form
    324,874/487,311 = 487,311/x
  3. Step 3: Cross multiply
    324,874x = 487,311 × 487,311
  4. Step 4: Simplify right side
    324,874x = 237,472,010,721
  5. Step 5: Solve for x
    x = 237,472,010,721/324,874
  6. Step 6: Final answer
    x = 730,966.50

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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.