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Finding the Third Proportional to 324,472.50 and 445,149

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Solution

The third proportional to 324,472.50 and 445,149 is: 610,707.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,472.50 : 445,149 = 445,149 : x
  2. Step 2: Convert to fraction form
    324,472.50/445,149 = 445,149/x
  3. Step 3: Cross multiply
    324,472.50x = 445,149 × 445,149
  4. Step 4: Simplify right side
    324,472.50x = 198,157,632,201
  5. Step 5: Solve for x
    x = 198,157,632,201/324,472.50
  6. Step 6: Final answer
    x = 610,707.02

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.