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Finding the Third Proportional to 258,855.75 and 397,327.78

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Solution

The third proportional to 258,855.75 and 397,327.78 is: 609,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,855.75 : 397,327.78 = 397,327.78 : x
  2. Step 2: Convert to fraction form
    258,855.75/397,327.78 = 397,327.78/x
  3. Step 3: Cross multiply
    258,855.75x = 397,327.78 × 397,327.78
  4. Step 4: Simplify right side
    258,855.75x = 157,869,365,753.05
  5. Step 5: Solve for x
    x = 157,869,365,753.05/258,855.75
  6. Step 6: Final answer
    x = 609,873.90

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