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Finding the Third Proportional to 278,249.56 and 415,736.44

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Solution

The third proportional to 278,249.56 and 415,736.44 is: 621,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,249.56 : 415,736.44 = 415,736.44 : x
  2. Step 2: Convert to fraction form
    278,249.56/415,736.44 = 415,736.44/x
  3. Step 3: Cross multiply
    278,249.56x = 415,736.44 × 415,736.44
  4. Step 4: Simplify right side
    278,249.56x = 172,836,785,465.19
  5. Step 5: Solve for x
    x = 172,836,785,465.19/278,249.56
  6. Step 6: Final answer
    x = 621,157.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.