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Finding the Third Proportional to 512.58 and 751.78

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Solution

The third proportional to 512.58 and 751.78 is: 1,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.58 : 751.78 = 751.78 : x
  2. Step 2: Convert to fraction form
    512.58/751.78 = 751.78/x
  3. Step 3: Cross multiply
    512.58x = 751.78 × 751.78
  4. Step 4: Simplify right side
    512.58x = 565,175.05
  5. Step 5: Solve for x
    x = 565,175.05/512.58
  6. Step 6: Final answer
    x = 1,102.61

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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.