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Finding the Third Proportional to 460.27 and 1,108.27

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Solution

The third proportional to 460.27 and 1,108.27 is: 2,668.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.27 : 1,108.27 = 1,108.27 : x
  2. Step 2: Convert to fraction form
    460.27/1,108.27 = 1,108.27/x
  3. Step 3: Cross multiply
    460.27x = 1,108.27 × 1,108.27
  4. Step 4: Simplify right side
    460.27x = 1,228,252.70
  5. Step 5: Solve for x
    x = 1,228,252.70/460.27
  6. Step 6: Final answer
    x = 2,668.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.