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Finding the Third Proportional to 222,744 and 467,360

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Solution

The third proportional to 222,744 and 467,360 is: 980,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,744 : 467,360 = 467,360 : x
  2. Step 2: Convert to fraction form
    222,744/467,360 = 467,360/x
  3. Step 3: Cross multiply
    222,744x = 467,360 × 467,360
  4. Step 4: Simplify right side
    222,744x = 218,425,369,600
  5. Step 5: Solve for x
    x = 218,425,369,600/222,744
  6. Step 6: Final answer
    x = 980,611.69

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.