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Finding the Third Proportional to 219,984.75 and 394,224.75

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Solution

The third proportional to 219,984.75 and 394,224.75 is: 706,472.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,984.75 : 394,224.75 = 394,224.75 : x
  2. Step 2: Convert to fraction form
    219,984.75/394,224.75 = 394,224.75/x
  3. Step 3: Cross multiply
    219,984.75x = 394,224.75 × 394,224.75
  4. Step 4: Simplify right side
    219,984.75x = 155,413,153,512.56
  5. Step 5: Solve for x
    x = 155,413,153,512.56/219,984.75
  6. Step 6: Final answer
    x = 706,472.40

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.