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Finding the Third Proportional to 213,436.05 and 454,523.91

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Solution

The third proportional to 213,436.05 and 454,523.91 is: 967,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,436.05 : 454,523.91 = 454,523.91 : x
  2. Step 2: Convert to fraction form
    213,436.05/454,523.91 = 454,523.91/x
  3. Step 3: Cross multiply
    213,436.05x = 454,523.91 × 454,523.91
  4. Step 4: Simplify right side
    213,436.05x = 206,591,981,352.76
  5. Step 5: Solve for x
    x = 206,591,981,352.76/213,436.05
  6. Step 6: Final answer
    x = 967,933.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.