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Finding the Third Proportional to 443.88 and 635.63

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Solution

The third proportional to 443.88 and 635.63 is: 910.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.88 : 635.63 = 635.63 : x
  2. Step 2: Convert to fraction form
    443.88/635.63 = 635.63/x
  3. Step 3: Cross multiply
    443.88x = 635.63 × 635.63
  4. Step 4: Simplify right side
    443.88x = 404,019.14
  5. Step 5: Solve for x
    x = 404,019.14/443.88
  6. Step 6: Final answer
    x = 910.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.