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Finding the Third Proportional to 207,796 and 451,016

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Solution

The third proportional to 207,796 and 451,016 is: 978,918.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,796 : 451,016 = 451,016 : x
  2. Step 2: Convert to fraction form
    207,796/451,016 = 451,016/x
  3. Step 3: Cross multiply
    207,796x = 451,016 × 451,016
  4. Step 4: Simplify right side
    207,796x = 203,415,432,256
  5. Step 5: Solve for x
    x = 203,415,432,256/207,796
  6. Step 6: Final answer
    x = 978,918.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.