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Finding the Third Proportional to 706.69 and 1,067.44

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Solution

The third proportional to 706.69 and 1,067.44 is: 1,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.69 : 1,067.44 = 1,067.44 : x
  2. Step 2: Convert to fraction form
    706.69/1,067.44 = 1,067.44/x
  3. Step 3: Cross multiply
    706.69x = 1,067.44 × 1,067.44
  4. Step 4: Simplify right side
    706.69x = 1,139,422.82
  5. Step 5: Solve for x
    x = 1,139,422.82/706.69
  6. Step 6: Final answer
    x = 1,612.34

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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.