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Finding the Third Proportional to 463 and 641

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Solution

The third proportional to 463 and 641 is: 887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 641 = 641 : x
  2. Step 2: Convert to fraction form
    463/641 = 641/x
  3. Step 3: Cross multiply
    463x = 641 × 641
  4. Step 4: Simplify right side
    463x = 410,881
  5. Step 5: Solve for x
    x = 410,881/463
  6. Step 6: Final answer
    x = 887.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.