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Finding the Third Proportional to 543.19 and 822.26

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Solution

The third proportional to 543.19 and 822.26 is: 1,244.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.19 : 822.26 = 822.26 : x
  2. Step 2: Convert to fraction form
    543.19/822.26 = 822.26/x
  3. Step 3: Cross multiply
    543.19x = 822.26 × 822.26
  4. Step 4: Simplify right side
    543.19x = 676,112.73
  5. Step 5: Solve for x
    x = 676,112.73/543.19
  6. Step 6: Final answer
    x = 1,244.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.