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Finding the Third Proportional to 219,436 and 472,172

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Solution

The third proportional to 219,436 and 472,172 is: 1,015,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,436 : 472,172 = 472,172 : x
  2. Step 2: Convert to fraction form
    219,436/472,172 = 472,172/x
  3. Step 3: Cross multiply
    219,436x = 472,172 × 472,172
  4. Step 4: Simplify right side
    219,436x = 222,946,397,584
  5. Step 5: Solve for x
    x = 222,946,397,584/219,436
  6. Step 6: Final answer
    x = 1,015,997.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.