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Finding the Third Proportional to 381,198.38 and 508,194

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Solution

The third proportional to 381,198.38 and 508,194 is: 677,498.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,198.38 : 508,194 = 508,194 : x
  2. Step 2: Convert to fraction form
    381,198.38/508,194 = 508,194/x
  3. Step 3: Cross multiply
    381,198.38x = 508,194 × 508,194
  4. Step 4: Simplify right side
    381,198.38x = 258,261,141,636
  5. Step 5: Solve for x
    x = 258,261,141,636/381,198.38
  6. Step 6: Final answer
    x = 677,498.01

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.