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Finding the Third Proportional to 222,540 and 494,835

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Solution

The third proportional to 222,540 and 494,835 is: 1,100,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,540 : 494,835 = 494,835 : x
  2. Step 2: Convert to fraction form
    222,540/494,835 = 494,835/x
  3. Step 3: Cross multiply
    222,540x = 494,835 × 494,835
  4. Step 4: Simplify right side
    222,540x = 244,861,677,225
  5. Step 5: Solve for x
    x = 244,861,677,225/222,540
  6. Step 6: Final answer
    x = 1,100,304.11

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.