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Finding the Third Proportional to 367,876 and 791,884

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Solution

The third proportional to 367,876 and 791,884 is: 1,704,596.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,876 : 791,884 = 791,884 : x
  2. Step 2: Convert to fraction form
    367,876/791,884 = 791,884/x
  3. Step 3: Cross multiply
    367,876x = 791,884 × 791,884
  4. Step 4: Simplify right side
    367,876x = 627,080,269,456
  5. Step 5: Solve for x
    x = 627,080,269,456/367,876
  6. Step 6: Final answer
    x = 1,704,596.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.