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Finding the Third Proportional to 463 and 517

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Solution

The third proportional to 463 and 517 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463 : 517 = 517 : x
  2. Step 2: Convert to fraction form
    463/517 = 517/x
  3. Step 3: Cross multiply
    463x = 517 × 517
  4. Step 4: Simplify right side
    463x = 267,289
  5. Step 5: Solve for x
    x = 267,289/463
  6. Step 6: Final answer
    x = 577.30

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.