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Finding the Third Proportional to 231,825.38 and 488,902.50

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Solution

The third proportional to 231,825.38 and 488,902.50 is: 1,031,059.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,825.38 : 488,902.50 = 488,902.50 : x
  2. Step 2: Convert to fraction form
    231,825.38/488,902.50 = 488,902.50/x
  3. Step 3: Cross multiply
    231,825.38x = 488,902.50 × 488,902.50
  4. Step 4: Simplify right side
    231,825.38x = 239,025,654,506.25
  5. Step 5: Solve for x
    x = 239,025,654,506.25/231,825.38
  6. Step 6: Final answer
    x = 1,031,059.07

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.