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Finding the Third Proportional to 230,793.50 and 479,933

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Solution

The third proportional to 230,793.50 and 479,933 is: 998,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,793.50 : 479,933 = 479,933 : x
  2. Step 2: Convert to fraction form
    230,793.50/479,933 = 479,933/x
  3. Step 3: Cross multiply
    230,793.50x = 479,933 × 479,933
  4. Step 4: Simplify right side
    230,793.50x = 230,335,684,489
  5. Step 5: Solve for x
    x = 230,335,684,489/230,793.50
  6. Step 6: Final answer
    x = 998,016.34

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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.