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Finding the Third Proportional to 327,162 and 705,876

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Solution

The third proportional to 327,162 and 705,876 is: 1,522,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,162 : 705,876 = 705,876 : x
  2. Step 2: Convert to fraction form
    327,162/705,876 = 705,876/x
  3. Step 3: Cross multiply
    327,162x = 705,876 × 705,876
  4. Step 4: Simplify right side
    327,162x = 498,260,927,376
  5. Step 5: Solve for x
    x = 498,260,927,376/327,162
  6. Step 6: Final answer
    x = 1,522,979.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.