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Finding the Third Proportional to 335.81 and 513.69

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Solution

The third proportional to 335.81 and 513.69 is: 785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.81 : 513.69 = 513.69 : x
  2. Step 2: Convert to fraction form
    335.81/513.69 = 513.69/x
  3. Step 3: Cross multiply
    335.81x = 513.69 × 513.69
  4. Step 4: Simplify right side
    335.81x = 263,874.85
  5. Step 5: Solve for x
    x = 263,874.85/335.81
  6. Step 6: Final answer
    x = 785.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.