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Finding the Third Proportional to 230,422.75 and 479,239.25

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Solution

The third proportional to 230,422.75 and 479,239.25 is: 996,734.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,422.75 : 479,239.25 = 479,239.25 : x
  2. Step 2: Convert to fraction form
    230,422.75/479,239.25 = 479,239.25/x
  3. Step 3: Cross multiply
    230,422.75x = 479,239.25 × 479,239.25
  4. Step 4: Simplify right side
    230,422.75x = 229,670,258,740.56
  5. Step 5: Solve for x
    x = 229,670,258,740.56/230,422.75
  6. Step 6: Final answer
    x = 996,734.30

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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.