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Finding the Third Proportional to 205,104 and 447,552

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Solution

The third proportional to 205,104 and 447,552 is: 976,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,104 : 447,552 = 447,552 : x
  2. Step 2: Convert to fraction form
    205,104/447,552 = 447,552/x
  3. Step 3: Cross multiply
    205,104x = 447,552 × 447,552
  4. Step 4: Simplify right side
    205,104x = 200,302,792,704
  5. Step 5: Solve for x
    x = 200,302,792,704/205,104
  6. Step 6: Final answer
    x = 976,591.35

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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.