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Finding the Third Proportional to 324,108 and 490,635

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Solution

The third proportional to 324,108 and 490,635 is: 742,723.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,108 : 490,635 = 490,635 : x
  2. Step 2: Convert to fraction form
    324,108/490,635 = 490,635/x
  3. Step 3: Cross multiply
    324,108x = 490,635 × 490,635
  4. Step 4: Simplify right side
    324,108x = 240,722,703,225
  5. Step 5: Solve for x
    x = 240,722,703,225/324,108
  6. Step 6: Final answer
    x = 742,723.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.