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Finding the Third Proportional to 230,418 and 479,229.75

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Solution

The third proportional to 230,418 and 479,229.75 is: 996,715.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,418 : 479,229.75 = 479,229.75 : x
  2. Step 2: Convert to fraction form
    230,418/479,229.75 = 479,229.75/x
  3. Step 3: Cross multiply
    230,418x = 479,229.75 × 479,229.75
  4. Step 4: Simplify right side
    230,418x = 229,661,153,285.06
  5. Step 5: Solve for x
    x = 229,661,153,285.06/230,418
  6. Step 6: Final answer
    x = 996,715.33

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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.