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Finding the Third Proportional to 878.38 and 1,315.25

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Solution

The third proportional to 878.38 and 1,315.25 is: 1,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.38 : 1,315.25 = 1,315.25 : x
  2. Step 2: Convert to fraction form
    878.38/1,315.25 = 1,315.25/x
  3. Step 3: Cross multiply
    878.38x = 1,315.25 × 1,315.25
  4. Step 4: Simplify right side
    878.38x = 1,729,882.56
  5. Step 5: Solve for x
    x = 1,729,882.56/878.38
  6. Step 6: Final answer
    x = 1,969.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.