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Finding the Third Proportional to 211,754 and 454,204

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Solution

The third proportional to 211,754 and 454,204 is: 974,249.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,754 : 454,204 = 454,204 : x
  2. Step 2: Convert to fraction form
    211,754/454,204 = 454,204/x
  3. Step 3: Cross multiply
    211,754x = 454,204 × 454,204
  4. Step 4: Simplify right side
    211,754x = 206,301,273,616
  5. Step 5: Solve for x
    x = 206,301,273,616/211,754
  6. Step 6: Final answer
    x = 974,249.71

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.