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Finding the Third Proportional to 519.38 and 822.19

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Solution

The third proportional to 519.38 and 822.19 is: 1,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.38 : 822.19 = 822.19 : x
  2. Step 2: Convert to fraction form
    519.38/822.19 = 822.19/x
  3. Step 3: Cross multiply
    519.38x = 822.19 × 822.19
  4. Step 4: Simplify right side
    519.38x = 675,992.29
  5. Step 5: Solve for x
    x = 675,992.29/519.38
  6. Step 6: Final answer
    x = 1,301.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.