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Finding the Third Proportional to 263,500 and 394,532

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Solution

The third proportional to 263,500 and 394,532 is: 590,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,500 : 394,532 = 394,532 : x
  2. Step 2: Convert to fraction form
    263,500/394,532 = 394,532/x
  3. Step 3: Cross multiply
    263,500x = 394,532 × 394,532
  4. Step 4: Simplify right side
    263,500x = 155,655,499,024
  5. Step 5: Solve for x
    x = 155,655,499,024/263,500
  6. Step 6: Final answer
    x = 590,722.96

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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.