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Finding the Third Proportional to 337.97 and 511.69

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Solution

The third proportional to 337.97 and 511.69 is: 774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.97 : 511.69 = 511.69 : x
  2. Step 2: Convert to fraction form
    337.97/511.69 = 511.69/x
  3. Step 3: Cross multiply
    337.97x = 511.69 × 511.69
  4. Step 4: Simplify right side
    337.97x = 261,824.10
  5. Step 5: Solve for x
    x = 261,824.10/337.97
  6. Step 6: Final answer
    x = 774.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.