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Finding the Third Proportional to 267,963.19 and 557,978.63

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Solution

The third proportional to 267,963.19 and 557,978.63 is: 1,161,876.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,963.19 : 557,978.63 = 557,978.63 : x
  2. Step 2: Convert to fraction form
    267,963.19/557,978.63 = 557,978.63/x
  3. Step 3: Cross multiply
    267,963.19x = 557,978.63 × 557,978.63
  4. Step 4: Simplify right side
    267,963.19x = 311,340,145,956.89
  5. Step 5: Solve for x
    x = 311,340,145,956.89/267,963.19
  6. Step 6: Final answer
    x = 1,161,876.56

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.