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Finding the Third Proportional to 207,712 and 451,874

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Solution

The third proportional to 207,712 and 451,874 is: 983,044.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,712 : 451,874 = 451,874 : x
  2. Step 2: Convert to fraction form
    207,712/451,874 = 451,874/x
  3. Step 3: Cross multiply
    207,712x = 451,874 × 451,874
  4. Step 4: Simplify right side
    207,712x = 204,190,111,876
  5. Step 5: Solve for x
    x = 204,190,111,876/207,712
  6. Step 6: Final answer
    x = 983,044.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.