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Finding the Third Proportional to 334.27 and 514.44

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Solution

The third proportional to 334.27 and 514.44 is: 791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.27 : 514.44 = 514.44 : x
  2. Step 2: Convert to fraction form
    334.27/514.44 = 514.44/x
  3. Step 3: Cross multiply
    334.27x = 514.44 × 514.44
  4. Step 4: Simplify right side
    334.27x = 264,649.96
  5. Step 5: Solve for x
    x = 264,649.96/334.27
  6. Step 6: Final answer
    x = 791.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.