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Finding the Third Proportional to 211,461 and 443,682

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Solution

The third proportional to 211,461 and 443,682 is: 930,922.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,461 : 443,682 = 443,682 : x
  2. Step 2: Convert to fraction form
    211,461/443,682 = 443,682/x
  3. Step 3: Cross multiply
    211,461x = 443,682 × 443,682
  4. Step 4: Simplify right side
    211,461x = 196,853,717,124
  5. Step 5: Solve for x
    x = 196,853,717,124/211,461
  6. Step 6: Final answer
    x = 930,922.09

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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.