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Finding the Third Proportional to 324,917.16 and 724,542.89

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Solution

The third proportional to 324,917.16 and 724,542.89 is: 1,615,680.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,917.16 : 724,542.89 = 724,542.89 : x
  2. Step 2: Convert to fraction form
    324,917.16/724,542.89 = 724,542.89/x
  3. Step 3: Cross multiply
    324,917.16x = 724,542.89 × 724,542.89
  4. Step 4: Simplify right side
    324,917.16x = 524,962,400,355.23
  5. Step 5: Solve for x
    x = 524,962,400,355.23/324,917.16
  6. Step 6: Final answer
    x = 1,615,680.77

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.