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Finding the Third Proportional to 562.22 and 791.16

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Solution

The third proportional to 562.22 and 791.16 is: 1,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.22 : 791.16 = 791.16 : x
  2. Step 2: Convert to fraction form
    562.22/791.16 = 791.16/x
  3. Step 3: Cross multiply
    562.22x = 791.16 × 791.16
  4. Step 4: Simplify right side
    562.22x = 625,928.21
  5. Step 5: Solve for x
    x = 625,928.21/562.22
  6. Step 6: Final answer
    x = 1,113.32

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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.