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Finding the Third Proportional to 332,338.57 and 724,828.18

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Solution

The third proportional to 332,338.57 and 724,828.18 is: 1,580,845.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,338.57 : 724,828.18 = 724,828.18 : x
  2. Step 2: Convert to fraction form
    332,338.57/724,828.18 = 724,828.18/x
  3. Step 3: Cross multiply
    332,338.57x = 724,828.18 × 724,828.18
  4. Step 4: Simplify right side
    332,338.57x = 525,375,895,731.82
  5. Step 5: Solve for x
    x = 525,375,895,731.82/332,338.57
  6. Step 6: Final answer
    x = 1,580,845.39

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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.