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Finding the Third Proportional to 332,322.75 and 724,798.13

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Solution

The third proportional to 332,322.75 and 724,798.13 is: 1,580,789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,322.75 : 724,798.13 = 724,798.13 : x
  2. Step 2: Convert to fraction form
    332,322.75/724,798.13 = 724,798.13/x
  3. Step 3: Cross multiply
    332,322.75x = 724,798.13 × 724,798.13
  4. Step 4: Simplify right side
    332,322.75x = 525,332,322,003.52
  5. Step 5: Solve for x
    x = 525,332,322,003.52/332,322.75
  6. Step 6: Final answer
    x = 1,580,789.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.