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Finding the Third Proportional to 699 and 766.50

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Solution

The third proportional to 699 and 766.50 is: 840.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    699 : 766.50 = 766.50 : x
  2. Step 2: Convert to fraction form
    699/766.50 = 766.50/x
  3. Step 3: Cross multiply
    699x = 766.50 × 766.50
  4. Step 4: Simplify right side
    699x = 587,522.25
  5. Step 5: Solve for x
    x = 587,522.25/699
  6. Step 6: Final answer
    x = 840.52

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.