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Finding the Third Proportional to 401,978 and 639,868

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Solution

The third proportional to 401,978 and 639,868 is: 1,018,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,978 : 639,868 = 639,868 : x
  2. Step 2: Convert to fraction form
    401,978/639,868 = 639,868/x
  3. Step 3: Cross multiply
    401,978x = 639,868 × 639,868
  4. Step 4: Simplify right side
    401,978x = 409,431,057,424
  5. Step 5: Solve for x
    x = 409,431,057,424/401,978
  6. Step 6: Final answer
    x = 1,018,540.96

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.