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Finding the Third Proportional to 207,881 and 449,026

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Solution

The third proportional to 207,881 and 449,026 is: 969,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,881 : 449,026 = 449,026 : x
  2. Step 2: Convert to fraction form
    207,881/449,026 = 449,026/x
  3. Step 3: Cross multiply
    207,881x = 449,026 × 449,026
  4. Step 4: Simplify right side
    207,881x = 201,624,348,676
  5. Step 5: Solve for x
    x = 201,624,348,676/207,881
  6. Step 6: Final answer
    x = 969,902.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.