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Finding the Third Proportional to 230,979 and 493,876

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Solution

The third proportional to 230,979 and 493,876 is: 1,055,998.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,979 : 493,876 = 493,876 : x
  2. Step 2: Convert to fraction form
    230,979/493,876 = 493,876/x
  3. Step 3: Cross multiply
    230,979x = 493,876 × 493,876
  4. Step 4: Simplify right side
    230,979x = 243,913,503,376
  5. Step 5: Solve for x
    x = 243,913,503,376/230,979
  6. Step 6: Final answer
    x = 1,055,998.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.