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Finding the Third Proportional to 229,817.25 and 488,976.75

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Solution

The third proportional to 229,817.25 and 488,976.75 is: 1,040,384.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,817.25 : 488,976.75 = 488,976.75 : x
  2. Step 2: Convert to fraction form
    229,817.25/488,976.75 = 488,976.75/x
  3. Step 3: Cross multiply
    229,817.25x = 488,976.75 × 488,976.75
  4. Step 4: Simplify right side
    229,817.25x = 239,098,262,040.56
  5. Step 5: Solve for x
    x = 239,098,262,040.56/229,817.25
  6. Step 6: Final answer
    x = 1,040,384.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.