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Finding the Third Proportional to 446.75 and 636.38

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Solution

The third proportional to 446.75 and 636.38 is: 906.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.75 : 636.38 = 636.38 : x
  2. Step 2: Convert to fraction form
    446.75/636.38 = 636.38/x
  3. Step 3: Cross multiply
    446.75x = 636.38 × 636.38
  4. Step 4: Simplify right side
    446.75x = 404,973.14
  5. Step 5: Solve for x
    x = 404,973.14/446.75
  6. Step 6: Final answer
    x = 906.49

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.