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Finding the Third Proportional to 294,414.75 and 635,910.75

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Solution

The third proportional to 294,414.75 and 635,910.75 is: 1,373,512.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,414.75 : 635,910.75 = 635,910.75 : x
  2. Step 2: Convert to fraction form
    294,414.75/635,910.75 = 635,910.75/x
  3. Step 3: Cross multiply
    294,414.75x = 635,910.75 × 635,910.75
  4. Step 4: Simplify right side
    294,414.75x = 404,382,481,965.56
  5. Step 5: Solve for x
    x = 404,382,481,965.56/294,414.75
  6. Step 6: Final answer
    x = 1,373,512.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.