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Finding the Third Proportional to 408.94 and 876.94

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Solution

The third proportional to 408.94 and 876.94 is: 1,880.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.94 : 876.94 = 876.94 : x
  2. Step 2: Convert to fraction form
    408.94/876.94 = 876.94/x
  3. Step 3: Cross multiply
    408.94x = 876.94 × 876.94
  4. Step 4: Simplify right side
    408.94x = 769,019.38
  5. Step 5: Solve for x
    x = 769,019.38/408.94
  6. Step 6: Final answer
    x = 1,880.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.