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Finding the Third Proportional to 203,896 and 447,056

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Solution

The third proportional to 203,896 and 447,056 is: 980,201.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,896 : 447,056 = 447,056 : x
  2. Step 2: Convert to fraction form
    203,896/447,056 = 447,056/x
  3. Step 3: Cross multiply
    203,896x = 447,056 × 447,056
  4. Step 4: Simplify right side
    203,896x = 199,859,067,136
  5. Step 5: Solve for x
    x = 199,859,067,136/203,896
  6. Step 6: Final answer
    x = 980,201.02

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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.