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Finding the Third Proportional to 211,973 and 449,218

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Solution

The third proportional to 211,973 and 449,218 is: 951,993.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,973 : 449,218 = 449,218 : x
  2. Step 2: Convert to fraction form
    211,973/449,218 = 449,218/x
  3. Step 3: Cross multiply
    211,973x = 449,218 × 449,218
  4. Step 4: Simplify right side
    211,973x = 201,796,811,524
  5. Step 5: Solve for x
    x = 201,796,811,524/211,973
  6. Step 6: Final answer
    x = 951,993.00

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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.