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Finding the Third Proportional to 211,467 and 443,694

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Solution

The third proportional to 211,467 and 443,694 is: 930,946.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,467 : 443,694 = 443,694 : x
  2. Step 2: Convert to fraction form
    211,467/443,694 = 443,694/x
  3. Step 3: Cross multiply
    211,467x = 443,694 × 443,694
  4. Step 4: Simplify right side
    211,467x = 196,864,365,636
  5. Step 5: Solve for x
    x = 196,864,365,636/211,467
  6. Step 6: Final answer
    x = 930,946.04

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.