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Finding the Third Proportional to 324,264 and 461,919

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Solution

The third proportional to 324,264 and 461,919 is: 658,010.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,264 : 461,919 = 461,919 : x
  2. Step 2: Convert to fraction form
    324,264/461,919 = 461,919/x
  3. Step 3: Cross multiply
    324,264x = 461,919 × 461,919
  4. Step 4: Simplify right side
    324,264x = 213,369,162,561
  5. Step 5: Solve for x
    x = 213,369,162,561/324,264
  6. Step 6: Final answer
    x = 658,010.64

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.