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Finding the Third Proportional to 211,711 and 454,122

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Solution

The third proportional to 211,711 and 454,122 is: 974,095.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,711 : 454,122 = 454,122 : x
  2. Step 2: Convert to fraction form
    211,711/454,122 = 454,122/x
  3. Step 3: Cross multiply
    211,711x = 454,122 × 454,122
  4. Step 4: Simplify right side
    211,711x = 206,226,790,884
  5. Step 5: Solve for x
    x = 206,226,790,884/211,711
  6. Step 6: Final answer
    x = 974,095.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.