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Finding the Third Proportional to 523.97 and 768.87

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Solution

The third proportional to 523.97 and 768.87 is: 1,128.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 768.87 = 768.87 : x
  2. Step 2: Convert to fraction form
    523.97/768.87 = 768.87/x
  3. Step 3: Cross multiply
    523.97x = 768.87 × 768.87
  4. Step 4: Simplify right side
    523.97x = 591,156.75
  5. Step 5: Solve for x
    x = 591,156.75/523.97
  6. Step 6: Final answer
    x = 1,128.23

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.