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Finding the Third Proportional to 241,822.97 and 519,321.38

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Solution

The third proportional to 241,822.97 and 519,321.38 is: 1,115,256.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,822.97 : 519,321.38 = 519,321.38 : x
  2. Step 2: Convert to fraction form
    241,822.97/519,321.38 = 519,321.38/x
  3. Step 3: Cross multiply
    241,822.97x = 519,321.38 × 519,321.38
  4. Step 4: Simplify right side
    241,822.97x = 269,694,690,531.89
  5. Step 5: Solve for x
    x = 269,694,690,531.89/241,822.97
  6. Step 6: Final answer
    x = 1,115,256.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.