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Finding the Third Proportional to 219,435 and 472,170

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Solution

The third proportional to 219,435 and 472,170 is: 1,015,993.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,435 : 472,170 = 472,170 : x
  2. Step 2: Convert to fraction form
    219,435/472,170 = 472,170/x
  3. Step 3: Cross multiply
    219,435x = 472,170 × 472,170
  4. Step 4: Simplify right side
    219,435x = 222,944,508,900
  5. Step 5: Solve for x
    x = 222,944,508,900/219,435
  6. Step 6: Final answer
    x = 1,015,993.39

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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.