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Finding the Third Proportional to 551.94 and 1,169.69

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Solution

The third proportional to 551.94 and 1,169.69 is: 2,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.94 : 1,169.69 = 1,169.69 : x
  2. Step 2: Convert to fraction form
    551.94/1,169.69 = 1,169.69/x
  3. Step 3: Cross multiply
    551.94x = 1,169.69 × 1,169.69
  4. Step 4: Simplify right side
    551.94x = 1,368,168.85
  5. Step 5: Solve for x
    x = 1,368,168.85/551.94
  6. Step 6: Final answer
    x = 2,478.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.