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Finding the Third Proportional to 267,736 and 576,944

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Solution

The third proportional to 267,736 and 576,944 is: 1,243,255.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,736 : 576,944 = 576,944 : x
  2. Step 2: Convert to fraction form
    267,736/576,944 = 576,944/x
  3. Step 3: Cross multiply
    267,736x = 576,944 × 576,944
  4. Step 4: Simplify right side
    267,736x = 332,864,379,136
  5. Step 5: Solve for x
    x = 332,864,379,136/267,736
  6. Step 6: Final answer
    x = 1,243,255.97

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Why These Related Problems?

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