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Finding the Third Proportional to 244,206 and 523,450

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Solution

The third proportional to 244,206 and 523,450 is: 1,122,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,206 : 523,450 = 523,450 : x
  2. Step 2: Convert to fraction form
    244,206/523,450 = 523,450/x
  3. Step 3: Cross multiply
    244,206x = 523,450 × 523,450
  4. Step 4: Simplify right side
    244,206x = 273,999,902,500
  5. Step 5: Solve for x
    x = 273,999,902,500/244,206
  6. Step 6: Final answer
    x = 1,122,003.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.