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Finding the Third Proportional to 332,341 and 724,832

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Solution

The third proportional to 332,341 and 724,832 is: 1,580,850.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,341 : 724,832 = 724,832 : x
  2. Step 2: Convert to fraction form
    332,341/724,832 = 724,832/x
  3. Step 3: Cross multiply
    332,341x = 724,832 × 724,832
  4. Step 4: Simplify right side
    332,341x = 525,381,428,224
  5. Step 5: Solve for x
    x = 525,381,428,224/332,341
  6. Step 6: Final answer
    x = 1,580,850.48

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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.