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Finding the Third Proportional to 414,642 and 635,067

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Solution

The third proportional to 414,642 and 635,067 is: 972,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,642 : 635,067 = 635,067 : x
  2. Step 2: Convert to fraction form
    414,642/635,067 = 635,067/x
  3. Step 3: Cross multiply
    414,642x = 635,067 × 635,067
  4. Step 4: Simplify right side
    414,642x = 403,310,094,489
  5. Step 5: Solve for x
    x = 403,310,094,489/414,642
  6. Step 6: Final answer
    x = 972,670.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.