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Finding the Third Proportional to 511.97 and 771.94

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Solution

The third proportional to 511.97 and 771.94 is: 1,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 771.94 = 771.94 : x
  2. Step 2: Convert to fraction form
    511.97/771.94 = 771.94/x
  3. Step 3: Cross multiply
    511.97x = 771.94 × 771.94
  4. Step 4: Simplify right side
    511.97x = 595,887.50
  5. Step 5: Solve for x
    x = 595,887.50/511.97
  6. Step 6: Final answer
    x = 1,163.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.