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Finding the Third Proportional to 335.44 and 519.19

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Solution

The third proportional to 335.44 and 519.19 is: 803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.44 : 519.19 = 519.19 : x
  2. Step 2: Convert to fraction form
    335.44/519.19 = 519.19/x
  3. Step 3: Cross multiply
    335.44x = 519.19 × 519.19
  4. Step 4: Simplify right side
    335.44x = 269,555.66
  5. Step 5: Solve for x
    x = 269,555.66/335.44
  6. Step 6: Final answer
    x = 803.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.