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Finding the Third Proportional to 231,126.75 and 480,396.75

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Solution

The third proportional to 231,126.75 and 480,396.75 is: 998,504.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,126.75 : 480,396.75 = 480,396.75 : x
  2. Step 2: Convert to fraction form
    231,126.75/480,396.75 = 480,396.75/x
  3. Step 3: Cross multiply
    231,126.75x = 480,396.75 × 480,396.75
  4. Step 4: Simplify right side
    231,126.75x = 230,781,037,410.56
  5. Step 5: Solve for x
    x = 230,781,037,410.56/231,126.75
  6. Step 6: Final answer
    x = 998,504.23

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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.