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Finding the Third Proportional to 204,291 and 448,893

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Solution

The third proportional to 204,291 and 448,893 is: 986,362.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,291 : 448,893 = 448,893 : x
  2. Step 2: Convert to fraction form
    204,291/448,893 = 448,893/x
  3. Step 3: Cross multiply
    204,291x = 448,893 × 448,893
  4. Step 4: Simplify right side
    204,291x = 201,504,925,449
  5. Step 5: Solve for x
    x = 201,504,925,449/204,291
  6. Step 6: Final answer
    x = 986,362.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.