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Finding the Third Proportional to 230,438.25 and 479,270.25

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Solution

The third proportional to 230,438.25 and 479,270.25 is: 996,796.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,438.25 : 479,270.25 = 479,270.25 : x
  2. Step 2: Convert to fraction form
    230,438.25/479,270.25 = 479,270.25/x
  3. Step 3: Cross multiply
    230,438.25x = 479,270.25 × 479,270.25
  4. Step 4: Simplify right side
    230,438.25x = 229,699,972,535.06
  5. Step 5: Solve for x
    x = 229,699,972,535.06/230,438.25
  6. Step 6: Final answer
    x = 996,796.20

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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.