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Finding the Third Proportional to 215,074 and 467,876

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Solution

The third proportional to 215,074 and 467,876 is: 1,017,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,074 : 467,876 = 467,876 : x
  2. Step 2: Convert to fraction form
    215,074/467,876 = 467,876/x
  3. Step 3: Cross multiply
    215,074x = 467,876 × 467,876
  4. Step 4: Simplify right side
    215,074x = 218,907,951,376
  5. Step 5: Solve for x
    x = 218,907,951,376/215,074
  6. Step 6: Final answer
    x = 1,017,826.20

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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.