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Finding the Third Proportional to 506.74 and 676.27

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Solution

The third proportional to 506.74 and 676.27 is: 902.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506.74 : 676.27 = 676.27 : x
  2. Step 2: Convert to fraction form
    506.74/676.27 = 676.27/x
  3. Step 3: Cross multiply
    506.74x = 676.27 × 676.27
  4. Step 4: Simplify right side
    506.74x = 457,335.20
  5. Step 5: Solve for x
    x = 457,335.20/506.74
  6. Step 6: Final answer
    x = 902.50

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.