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Finding the Third Proportional to 267,718.50 and 557,631

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Solution

The third proportional to 267,718.50 and 557,631 is: 1,161,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,718.50 : 557,631 = 557,631 : x
  2. Step 2: Convert to fraction form
    267,718.50/557,631 = 557,631/x
  3. Step 3: Cross multiply
    267,718.50x = 557,631 × 557,631
  4. Step 4: Simplify right side
    267,718.50x = 310,952,332,161
  5. Step 5: Solve for x
    x = 310,952,332,161/267,718.50
  6. Step 6: Final answer
    x = 1,161,489.89

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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.