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Finding the Third Proportional to 568,978 and 854,980

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Solution

The third proportional to 568,978 and 854,980 is: 1,284,743.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,978 : 854,980 = 854,980 : x
  2. Step 2: Convert to fraction form
    568,978/854,980 = 854,980/x
  3. Step 3: Cross multiply
    568,978x = 854,980 × 854,980
  4. Step 4: Simplify right side
    568,978x = 730,990,800,400
  5. Step 5: Solve for x
    x = 730,990,800,400/568,978
  6. Step 6: Final answer
    x = 1,284,743.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.