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Finding the Third Proportional to 511.97 and 779.34

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Solution

The third proportional to 511.97 and 779.34 is: 1,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.97 : 779.34 = 779.34 : x
  2. Step 2: Convert to fraction form
    511.97/779.34 = 779.34/x
  3. Step 3: Cross multiply
    511.97x = 779.34 × 779.34
  4. Step 4: Simplify right side
    511.97x = 607,376.68
  5. Step 5: Solve for x
    x = 607,376.68/511.97
  6. Step 6: Final answer
    x = 1,186.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.