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Finding the Third Proportional to 682.88 and 734.06

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Solution

The third proportional to 682.88 and 734.06 is: 789.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    682.88 : 734.06 = 734.06 : x
  2. Step 2: Convert to fraction form
    682.88/734.06 = 734.06/x
  3. Step 3: Cross multiply
    682.88x = 734.06 × 734.06
  4. Step 4: Simplify right side
    682.88x = 538,847.75
  5. Step 5: Solve for x
    x = 538,847.75/682.88
  6. Step 6: Final answer
    x = 789.09

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.