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Finding the Third Proportional to 337.94 and 513.34

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Solution

The third proportional to 337.94 and 513.34 is: 779.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.94 : 513.34 = 513.34 : x
  2. Step 2: Convert to fraction form
    337.94/513.34 = 513.34/x
  3. Step 3: Cross multiply
    337.94x = 513.34 × 513.34
  4. Step 4: Simplify right side
    337.94x = 263,521.81
  5. Step 5: Solve for x
    x = 263,521.81/337.94
  6. Step 6: Final answer
    x = 779.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.