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Finding the Third Proportional to 332,406 and 724,934

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Solution

The third proportional to 332,406 and 724,934 is: 1,580,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,406 : 724,934 = 724,934 : x
  2. Step 2: Convert to fraction form
    332,406/724,934 = 724,934/x
  3. Step 3: Cross multiply
    332,406x = 724,934 × 724,934
  4. Step 4: Simplify right side
    332,406x = 525,529,304,356
  5. Step 5: Solve for x
    x = 525,529,304,356/332,406
  6. Step 6: Final answer
    x = 1,580,986.22

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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.