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Finding the Third Proportional to 213,626 and 454,864

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Solution

The third proportional to 213,626 and 454,864 is: 968,520.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,626 : 454,864 = 454,864 : x
  2. Step 2: Convert to fraction form
    213,626/454,864 = 454,864/x
  3. Step 3: Cross multiply
    213,626x = 454,864 × 454,864
  4. Step 4: Simplify right side
    213,626x = 206,901,258,496
  5. Step 5: Solve for x
    x = 206,901,258,496/213,626
  6. Step 6: Final answer
    x = 968,520.96

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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.