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Finding the Third Proportional to 220,620 and 467,241

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Solution

The third proportional to 220,620 and 467,241 is: 989,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,620 : 467,241 = 467,241 : x
  2. Step 2: Convert to fraction form
    220,620/467,241 = 467,241/x
  3. Step 3: Cross multiply
    220,620x = 467,241 × 467,241
  4. Step 4: Simplify right side
    220,620x = 218,314,152,081
  5. Step 5: Solve for x
    x = 218,314,152,081/220,620
  6. Step 6: Final answer
    x = 989,548.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.