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Finding the Third Proportional to 204,797 and 448,961

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Solution

The third proportional to 204,797 and 448,961 is: 984,223.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,797 : 448,961 = 448,961 : x
  2. Step 2: Convert to fraction form
    204,797/448,961 = 448,961/x
  3. Step 3: Cross multiply
    204,797x = 448,961 × 448,961
  4. Step 4: Simplify right side
    204,797x = 201,565,979,521
  5. Step 5: Solve for x
    x = 201,565,979,521/204,797
  6. Step 6: Final answer
    x = 984,223.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.