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Finding the Third Proportional to 649.50 and 878.25

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Solution

The third proportional to 649.50 and 878.25 is: 1,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.50 : 878.25 = 878.25 : x
  2. Step 2: Convert to fraction form
    649.50/878.25 = 878.25/x
  3. Step 3: Cross multiply
    649.50x = 878.25 × 878.25
  4. Step 4: Simplify right side
    649.50x = 771,323.06
  5. Step 5: Solve for x
    x = 771,323.06/649.50
  6. Step 6: Final answer
    x = 1,187.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.