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Finding the Third Proportional to 201,814 and 475,728

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Solution

The third proportional to 201,814 and 475,728 is: 1,121,414.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,814 : 475,728 = 475,728 : x
  2. Step 2: Convert to fraction form
    201,814/475,728 = 475,728/x
  3. Step 3: Cross multiply
    201,814x = 475,728 × 475,728
  4. Step 4: Simplify right side
    201,814x = 226,317,129,984
  5. Step 5: Solve for x
    x = 226,317,129,984/201,814
  6. Step 6: Final answer
    x = 1,121,414.42

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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.