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Finding the Third Proportional to 454.36 and 844.17

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Solution

The third proportional to 454.36 and 844.17 is: 1,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.36 : 844.17 = 844.17 : x
  2. Step 2: Convert to fraction form
    454.36/844.17 = 844.17/x
  3. Step 3: Cross multiply
    454.36x = 844.17 × 844.17
  4. Step 4: Simplify right side
    454.36x = 712,626.15
  5. Step 5: Solve for x
    x = 712,626.15/454.36
  6. Step 6: Final answer
    x = 1,568.42

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.