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Finding the Third Proportional to 204,880 and 445,664

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Solution

The third proportional to 204,880 and 445,664 is: 969,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,880 : 445,664 = 445,664 : x
  2. Step 2: Convert to fraction form
    204,880/445,664 = 445,664/x
  3. Step 3: Cross multiply
    204,880x = 445,664 × 445,664
  4. Step 4: Simplify right side
    204,880x = 198,616,400,896
  5. Step 5: Solve for x
    x = 198,616,400,896/204,880
  6. Step 6: Final answer
    x = 969,427.96

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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.