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Finding the Third Proportional to 204,868 and 447,094

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Solution

The third proportional to 204,868 and 447,094 is: 975,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,868 : 447,094 = 447,094 : x
  2. Step 2: Convert to fraction form
    204,868/447,094 = 447,094/x
  3. Step 3: Cross multiply
    204,868x = 447,094 × 447,094
  4. Step 4: Simplify right side
    204,868x = 199,893,044,836
  5. Step 5: Solve for x
    x = 199,893,044,836/204,868
  6. Step 6: Final answer
    x = 975,716.29

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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.