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Finding the Third Proportional to 266.97 and 578.79

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Solution

The third proportional to 266.97 and 578.79 is: 1,254.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.97 : 578.79 = 578.79 : x
  2. Step 2: Convert to fraction form
    266.97/578.79 = 578.79/x
  3. Step 3: Cross multiply
    266.97x = 578.79 × 578.79
  4. Step 4: Simplify right side
    266.97x = 334,993.39
  5. Step 5: Solve for x
    x = 334,993.39/266.97
  6. Step 6: Final answer
    x = 1,254.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.