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Finding the Third Proportional to 204,246 and 441,288

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Solution

The third proportional to 204,246 and 441,288 is: 953,434.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,246 : 441,288 = 441,288 : x
  2. Step 2: Convert to fraction form
    204,246/441,288 = 441,288/x
  3. Step 3: Cross multiply
    204,246x = 441,288 × 441,288
  4. Step 4: Simplify right side
    204,246x = 194,735,098,944
  5. Step 5: Solve for x
    x = 194,735,098,944/204,246
  6. Step 6: Final answer
    x = 953,434.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.