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Finding the Third Proportional to 221,508 and 472,012

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Solution

The third proportional to 221,508 and 472,012 is: 1,005,811.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,508 : 472,012 = 472,012 : x
  2. Step 2: Convert to fraction form
    221,508/472,012 = 472,012/x
  3. Step 3: Cross multiply
    221,508x = 472,012 × 472,012
  4. Step 4: Simplify right side
    221,508x = 222,795,328,144
  5. Step 5: Solve for x
    x = 222,795,328,144/221,508
  6. Step 6: Final answer
    x = 1,005,811.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.