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Finding the Third Proportional to 337.71 and 504.42

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Solution

The third proportional to 337.71 and 504.42 is: 753.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.71 : 504.42 = 504.42 : x
  2. Step 2: Convert to fraction form
    337.71/504.42 = 504.42/x
  3. Step 3: Cross multiply
    337.71x = 504.42 × 504.42
  4. Step 4: Simplify right side
    337.71x = 254,441.43
  5. Step 5: Solve for x
    x = 254,441.43/337.71
  6. Step 6: Final answer
    x = 753.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.