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Finding the Third Proportional to 230,793 and 479,931

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Solution

The third proportional to 230,793 and 479,931 is: 998,010.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,793 : 479,931 = 479,931 : x
  2. Step 2: Convert to fraction form
    230,793/479,931 = 479,931/x
  3. Step 3: Cross multiply
    230,793x = 479,931 × 479,931
  4. Step 4: Simplify right side
    230,793x = 230,333,764,761
  5. Step 5: Solve for x
    x = 230,333,764,761/230,793
  6. Step 6: Final answer
    x = 998,010.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.