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Finding the Third Proportional to 427.75 and 1,033.38

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Solution

The third proportional to 427.75 and 1,033.38 is: 2,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.75 : 1,033.38 = 1,033.38 : x
  2. Step 2: Convert to fraction form
    427.75/1,033.38 = 1,033.38/x
  3. Step 3: Cross multiply
    427.75x = 1,033.38 × 1,033.38
  4. Step 4: Simplify right side
    427.75x = 1,067,863.89
  5. Step 5: Solve for x
    x = 1,067,863.89/427.75
  6. Step 6: Final answer
    x = 2,496.47

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.