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Finding the Third Proportional to 332,860 and 727,868

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Solution

The third proportional to 332,860 and 727,868 is: 1,591,635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,860 : 727,868 = 727,868 : x
  2. Step 2: Convert to fraction form
    332,860/727,868 = 727,868/x
  3. Step 3: Cross multiply
    332,860x = 727,868 × 727,868
  4. Step 4: Simplify right side
    332,860x = 529,791,825,424
  5. Step 5: Solve for x
    x = 529,791,825,424/332,860
  6. Step 6: Final answer
    x = 1,591,635.60

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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.