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Finding the Third Proportional to 711 and 766.50

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Solution

The third proportional to 711 and 766.50 is: 826.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    711 : 766.50 = 766.50 : x
  2. Step 2: Convert to fraction form
    711/766.50 = 766.50/x
  3. Step 3: Cross multiply
    711x = 766.50 × 766.50
  4. Step 4: Simplify right side
    711x = 587,522.25
  5. Step 5: Solve for x
    x = 587,522.25/711
  6. Step 6: Final answer
    x = 826.33

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.