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Finding the Third Proportional to 419 and 517

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Solution

The third proportional to 419 and 517 is: 637.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    419 : 517 = 517 : x
  2. Step 2: Convert to fraction form
    419/517 = 517/x
  3. Step 3: Cross multiply
    419x = 517 × 517
  4. Step 4: Simplify right side
    419x = 267,289
  5. Step 5: Solve for x
    x = 267,289/419
  6. Step 6: Final answer
    x = 637.92

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.