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Finding the Third Proportional to 211,992 and 448,512

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Solution

The third proportional to 211,992 and 448,512 is: 948,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,992 : 448,512 = 448,512 : x
  2. Step 2: Convert to fraction form
    211,992/448,512 = 448,512/x
  3. Step 3: Cross multiply
    211,992x = 448,512 × 448,512
  4. Step 4: Simplify right side
    211,992x = 201,163,014,144
  5. Step 5: Solve for x
    x = 201,163,014,144/211,992
  6. Step 6: Final answer
    x = 948,917.95

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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.