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Finding the Third Proportional to 324,006.75 and 486,081

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Solution

The third proportional to 324,006.75 and 486,081 is: 729,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,006.75 : 486,081 = 486,081 : x
  2. Step 2: Convert to fraction form
    324,006.75/486,081 = 486,081/x
  3. Step 3: Cross multiply
    324,006.75x = 486,081 × 486,081
  4. Step 4: Simplify right side
    324,006.75x = 236,274,738,561
  5. Step 5: Solve for x
    x = 236,274,738,561/324,006.75
  6. Step 6: Final answer
    x = 729,227.83

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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.