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Finding the Third Proportional to 207,906 and 449,049

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Solution

The third proportional to 207,906 and 449,049 is: 969,885.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,906 : 449,049 = 449,049 : x
  2. Step 2: Convert to fraction form
    207,906/449,049 = 449,049/x
  3. Step 3: Cross multiply
    207,906x = 449,049 × 449,049
  4. Step 4: Simplify right side
    207,906x = 201,645,004,401
  5. Step 5: Solve for x
    x = 201,645,004,401/207,906
  6. Step 6: Final answer
    x = 969,885.45

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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.