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Finding the Third Proportional to 231,680.25 and 474,648.75

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Solution

The third proportional to 231,680.25 and 474,648.75 is: 972,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,680.25 : 474,648.75 = 474,648.75 : x
  2. Step 2: Convert to fraction form
    231,680.25/474,648.75 = 474,648.75/x
  3. Step 3: Cross multiply
    231,680.25x = 474,648.75 × 474,648.75
  4. Step 4: Simplify right side
    231,680.25x = 225,291,435,876.56
  5. Step 5: Solve for x
    x = 225,291,435,876.56/231,680.25
  6. Step 6: Final answer
    x = 972,424.00

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.