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Finding the Third Proportional to 480.66 and 1,072.27

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Solution

The third proportional to 480.66 and 1,072.27 is: 2,392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.66 : 1,072.27 = 1,072.27 : x
  2. Step 2: Convert to fraction form
    480.66/1,072.27 = 1,072.27/x
  3. Step 3: Cross multiply
    480.66x = 1,072.27 × 1,072.27
  4. Step 4: Simplify right side
    480.66x = 1,149,753.57
  5. Step 5: Solve for x
    x = 1,149,753.57/480.66
  6. Step 6: Final answer
    x = 2,392.05

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.