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Finding the Third Proportional to 327.75 and 506.53

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Solution

The third proportional to 327.75 and 506.53 is: 782.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    327.75 : 506.53 = 506.53 : x
  2. Step 2: Convert to fraction form
    327.75/506.53 = 506.53/x
  3. Step 3: Cross multiply
    327.75x = 506.53 × 506.53
  4. Step 4: Simplify right side
    327.75x = 256,573.91
  5. Step 5: Solve for x
    x = 256,573.91/327.75
  6. Step 6: Final answer
    x = 782.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.