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Finding the Third Proportional to 512.89 and 768.55

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Solution

The third proportional to 512.89 and 768.55 is: 1,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 768.55 = 768.55 : x
  2. Step 2: Convert to fraction form
    512.89/768.55 = 768.55/x
  3. Step 3: Cross multiply
    512.89x = 768.55 × 768.55
  4. Step 4: Simplify right side
    512.89x = 590,670.30
  5. Step 5: Solve for x
    x = 590,670.30/512.89
  6. Step 6: Final answer
    x = 1,151.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.