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Finding the Third Proportional to 211,976 and 449,224

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Solution

The third proportional to 211,976 and 449,224 is: 952,004.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,976 : 449,224 = 449,224 : x
  2. Step 2: Convert to fraction form
    211,976/449,224 = 449,224/x
  3. Step 3: Cross multiply
    211,976x = 449,224 × 449,224
  4. Step 4: Simplify right side
    211,976x = 201,802,202,176
  5. Step 5: Solve for x
    x = 201,802,202,176/211,976
  6. Step 6: Final answer
    x = 952,004.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.