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Finding the Third Proportional to 207,902 and 324,022

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Solution

The third proportional to 207,902 and 324,022 is: 504,998.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,902 : 324,022 = 324,022 : x
  2. Step 2: Convert to fraction form
    207,902/324,022 = 324,022/x
  3. Step 3: Cross multiply
    207,902x = 324,022 × 324,022
  4. Step 4: Simplify right side
    207,902x = 104,990,256,484
  5. Step 5: Solve for x
    x = 104,990,256,484/207,902
  6. Step 6: Final answer
    x = 504,998.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.