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Finding the Third Proportional to 217,251 and 454,364

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Solution

The third proportional to 217,251 and 454,364 is: 950,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,251 : 454,364 = 454,364 : x
  2. Step 2: Convert to fraction form
    217,251/454,364 = 454,364/x
  3. Step 3: Cross multiply
    217,251x = 454,364 × 454,364
  4. Step 4: Simplify right side
    217,251x = 206,446,644,496
  5. Step 5: Solve for x
    x = 206,446,644,496/217,251
  6. Step 6: Final answer
    x = 950,267.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.