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Finding the Third Proportional to 213,629 and 454,870

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Solution

The third proportional to 213,629 and 454,870 is: 968,532.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,629 : 454,870 = 454,870 : x
  2. Step 2: Convert to fraction form
    213,629/454,870 = 454,870/x
  3. Step 3: Cross multiply
    213,629x = 454,870 × 454,870
  4. Step 4: Simplify right side
    213,629x = 206,906,716,900
  5. Step 5: Solve for x
    x = 206,906,716,900/213,629
  6. Step 6: Final answer
    x = 968,532.91

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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.