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Finding the Third Proportional to 676 and 776.50

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Solution

The third proportional to 676 and 776.50 is: 891.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    676 : 776.50 = 776.50 : x
  2. Step 2: Convert to fraction form
    676/776.50 = 776.50/x
  3. Step 3: Cross multiply
    676x = 776.50 × 776.50
  4. Step 4: Simplify right side
    676x = 602,952.25
  5. Step 5: Solve for x
    x = 602,952.25/676
  6. Step 6: Final answer
    x = 891.94

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.