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Finding the Third Proportional to 267,966 and 557,983.13

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Solution

The third proportional to 267,966 and 557,983.13 is: 1,161,883.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,966 : 557,983.13 = 557,983.13 : x
  2. Step 2: Convert to fraction form
    267,966/557,983.13 = 557,983.13/x
  3. Step 3: Cross multiply
    267,966x = 557,983.13 × 557,983.13
  4. Step 4: Simplify right side
    267,966x = 311,345,167,784.77
  5. Step 5: Solve for x
    x = 311,345,167,784.77/267,966
  6. Step 6: Final answer
    x = 1,161,883.10

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Why These Related Problems?

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