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Finding the Third Proportional to 332,802 and 727,812

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Solution

The third proportional to 332,802 and 727,812 is: 1,591,668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,802 : 727,812 = 727,812 : x
  2. Step 2: Convert to fraction form
    332,802/727,812 = 727,812/x
  3. Step 3: Cross multiply
    332,802x = 727,812 × 727,812
  4. Step 4: Simplify right side
    332,802x = 529,710,307,344
  5. Step 5: Solve for x
    x = 529,710,307,344/332,802
  6. Step 6: Final answer
    x = 1,591,668.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.