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Finding the Third Proportional to 267,616 and 366,979

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Solution

The third proportional to 267,616 and 366,979 is: 503,234.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,616 : 366,979 = 366,979 : x
  2. Step 2: Convert to fraction form
    267,616/366,979 = 366,979/x
  3. Step 3: Cross multiply
    267,616x = 366,979 × 366,979
  4. Step 4: Simplify right side
    267,616x = 134,673,586,441
  5. Step 5: Solve for x
    x = 134,673,586,441/267,616
  6. Step 6: Final answer
    x = 503,234.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.