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Finding the Third Proportional to 201,840 and 475,794

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Solution

The third proportional to 201,840 and 475,794 is: 1,121,581.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840 : 475,794 = 475,794 : x
  2. Step 2: Convert to fraction form
    201,840/475,794 = 475,794/x
  3. Step 3: Cross multiply
    201,840x = 475,794 × 475,794
  4. Step 4: Simplify right side
    201,840x = 226,379,930,436
  5. Step 5: Solve for x
    x = 226,379,930,436/201,840
  6. Step 6: Final answer
    x = 1,121,581.11

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.