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Finding the Third Proportional to 205,265 and 447,682

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Solution

The third proportional to 205,265 and 447,682 is: 976,392.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,265 : 447,682 = 447,682 : x
  2. Step 2: Convert to fraction form
    205,265/447,682 = 447,682/x
  3. Step 3: Cross multiply
    205,265x = 447,682 × 447,682
  4. Step 4: Simplify right side
    205,265x = 200,419,173,124
  5. Step 5: Solve for x
    x = 200,419,173,124/205,265
  6. Step 6: Final answer
    x = 976,392.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.