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Finding the Third Proportional to 411,183 and 635,451

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Solution

The third proportional to 411,183 and 635,451 is: 982,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,183 : 635,451 = 635,451 : x
  2. Step 2: Convert to fraction form
    411,183/635,451 = 635,451/x
  3. Step 3: Cross multiply
    411,183x = 635,451 × 635,451
  4. Step 4: Simplify right side
    411,183x = 403,797,973,401
  5. Step 5: Solve for x
    x = 403,797,973,401/411,183
  6. Step 6: Final answer
    x = 982,039.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.