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Finding the Third Proportional to 213,627 and 454,866

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Solution

The third proportional to 213,627 and 454,866 is: 968,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,627 : 454,866 = 454,866 : x
  2. Step 2: Convert to fraction form
    213,627/454,866 = 454,866/x
  3. Step 3: Cross multiply
    213,627x = 454,866 × 454,866
  4. Step 4: Simplify right side
    213,627x = 206,903,077,956
  5. Step 5: Solve for x
    x = 206,903,077,956/213,627
  6. Step 6: Final answer
    x = 968,524.94

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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.