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Finding the Third Proportional to 205,560 and 443,682

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Solution

The third proportional to 205,560 and 443,682 is: 957,646.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,560 : 443,682 = 443,682 : x
  2. Step 2: Convert to fraction form
    205,560/443,682 = 443,682/x
  3. Step 3: Cross multiply
    205,560x = 443,682 × 443,682
  4. Step 4: Simplify right side
    205,560x = 196,853,717,124
  5. Step 5: Solve for x
    x = 196,853,717,124/205,560
  6. Step 6: Final answer
    x = 957,646.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.