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Finding the Third Proportional to 263,500 and 394,533

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Solution

The third proportional to 263,500 and 394,533 is: 590,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,500 : 394,533 = 394,533 : x
  2. Step 2: Convert to fraction form
    263,500/394,533 = 394,533/x
  3. Step 3: Cross multiply
    263,500x = 394,533 × 394,533
  4. Step 4: Simplify right side
    263,500x = 155,656,288,089
  5. Step 5: Solve for x
    x = 155,656,288,089/263,500
  6. Step 6: Final answer
    x = 590,725.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.