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Finding the Third Proportional to 717.88 and 1,550.38

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Solution

The third proportional to 717.88 and 1,550.38 is: 3,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.88 : 1,550.38 = 1,550.38 : x
  2. Step 2: Convert to fraction form
    717.88/1,550.38 = 1,550.38/x
  3. Step 3: Cross multiply
    717.88x = 1,550.38 × 1,550.38
  4. Step 4: Simplify right side
    717.88x = 2,403,662.64
  5. Step 5: Solve for x
    x = 2,403,662.64/717.88
  6. Step 6: Final answer
    x = 3,348.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.