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Finding the Third Proportional to 486.50 and 676.75

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Solution

The third proportional to 486.50 and 676.75 is: 941.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.50 : 676.75 = 676.75 : x
  2. Step 2: Convert to fraction form
    486.50/676.75 = 676.75/x
  3. Step 3: Cross multiply
    486.50x = 676.75 × 676.75
  4. Step 4: Simplify right side
    486.50x = 457,990.56
  5. Step 5: Solve for x
    x = 457,990.56/486.50
  6. Step 6: Final answer
    x = 941.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.