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Finding the Third Proportional to 219,228 and 471,728

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Solution

The third proportional to 219,228 and 471,728 is: 1,015,049.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,228 : 471,728 = 471,728 : x
  2. Step 2: Convert to fraction form
    219,228/471,728 = 471,728/x
  3. Step 3: Cross multiply
    219,228x = 471,728 × 471,728
  4. Step 4: Simplify right side
    219,228x = 222,527,305,984
  5. Step 5: Solve for x
    x = 222,527,305,984/219,228
  6. Step 6: Final answer
    x = 1,015,049.66

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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.