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Finding the Third Proportional to 324,220 and 485,034

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Solution

The third proportional to 324,220 and 485,034 is: 725,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,220 : 485,034 = 485,034 : x
  2. Step 2: Convert to fraction form
    324,220/485,034 = 485,034/x
  3. Step 3: Cross multiply
    324,220x = 485,034 × 485,034
  4. Step 4: Simplify right side
    324,220x = 235,257,981,156
  5. Step 5: Solve for x
    x = 235,257,981,156/324,220
  6. Step 6: Final answer
    x = 725,612.18

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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.