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Finding the Third Proportional to 332,343 and 731,142

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Solution

The third proportional to 332,343 and 731,142 is: 1,608,484.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,343 : 731,142 = 731,142 : x
  2. Step 2: Convert to fraction form
    332,343/731,142 = 731,142/x
  3. Step 3: Cross multiply
    332,343x = 731,142 × 731,142
  4. Step 4: Simplify right side
    332,343x = 534,568,624,164
  5. Step 5: Solve for x
    x = 534,568,624,164/332,343
  6. Step 6: Final answer
    x = 1,608,484.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.