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Finding the Third Proportional to 706.85 and 1,550.39

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Solution

The third proportional to 706.85 and 1,550.39 is: 3,400.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.85 : 1,550.39 = 1,550.39 : x
  2. Step 2: Convert to fraction form
    706.85/1,550.39 = 1,550.39/x
  3. Step 3: Cross multiply
    706.85x = 1,550.39 × 1,550.39
  4. Step 4: Simplify right side
    706.85x = 2,403,711.09
  5. Step 5: Solve for x
    x = 2,403,711.09/706.85
  6. Step 6: Final answer
    x = 3,400.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.