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Finding the Third Proportional to 252,961.75 and 538,696

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Solution

The third proportional to 252,961.75 and 538,696 is: 1,147,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,961.75 : 538,696 = 538,696 : x
  2. Step 2: Convert to fraction form
    252,961.75/538,696 = 538,696/x
  3. Step 3: Cross multiply
    252,961.75x = 538,696 × 538,696
  4. Step 4: Simplify right side
    252,961.75x = 290,193,380,416
  5. Step 5: Solve for x
    x = 290,193,380,416/252,961.75
  6. Step 6: Final answer
    x = 1,147,182.85

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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.