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Finding the Third Proportional to 207,880 and 449,022

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Solution

The third proportional to 207,880 and 449,022 is: 969,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,880 : 449,022 = 449,022 : x
  2. Step 2: Convert to fraction form
    207,880/449,022 = 449,022/x
  3. Step 3: Cross multiply
    207,880x = 449,022 × 449,022
  4. Step 4: Simplify right side
    207,880x = 201,620,756,484
  5. Step 5: Solve for x
    x = 201,620,756,484/207,880
  6. Step 6: Final answer
    x = 969,890.11

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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.