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Finding the Third Proportional to 324,876 and 487,314

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Solution

The third proportional to 324,876 and 487,314 is: 730,971

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,876 : 487,314 = 487,314 : x
  2. Step 2: Convert to fraction form
    324,876/487,314 = 487,314/x
  3. Step 3: Cross multiply
    324,876x = 487,314 × 487,314
  4. Step 4: Simplify right side
    324,876x = 237,474,934,596
  5. Step 5: Solve for x
    x = 237,474,934,596/324,876
  6. Step 6: Final answer
    x = 730,971

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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.