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Finding the Third Proportional to 811.27 and 1,147.92

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Solution

The third proportional to 811.27 and 1,147.92 is: 1,624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.27 : 1,147.92 = 1,147.92 : x
  2. Step 2: Convert to fraction form
    811.27/1,147.92 = 1,147.92/x
  3. Step 3: Cross multiply
    811.27x = 1,147.92 × 1,147.92
  4. Step 4: Simplify right side
    811.27x = 1,317,724.63
  5. Step 5: Solve for x
    x = 1,317,724.63/811.27
  6. Step 6: Final answer
    x = 1,624.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.