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Finding the Third Proportional to 411,191 and 635,463

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Solution

The third proportional to 411,191 and 635,463 is: 982,057.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,191 : 635,463 = 635,463 : x
  2. Step 2: Convert to fraction form
    411,191/635,463 = 635,463/x
  3. Step 3: Cross multiply
    411,191x = 635,463 × 635,463
  4. Step 4: Simplify right side
    411,191x = 403,813,224,369
  5. Step 5: Solve for x
    x = 403,813,224,369/411,191
  6. Step 6: Final answer
    x = 982,057.55

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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.