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Finding the Third Proportional to 205,928 and 451,220

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Solution

The third proportional to 205,928 and 451,220 is: 988,692.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,928 : 451,220 = 451,220 : x
  2. Step 2: Convert to fraction form
    205,928/451,220 = 451,220/x
  3. Step 3: Cross multiply
    205,928x = 451,220 × 451,220
  4. Step 4: Simplify right side
    205,928x = 203,599,488,400
  5. Step 5: Solve for x
    x = 203,599,488,400/205,928
  6. Step 6: Final answer
    x = 988,692.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.