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Finding the Third Proportional to 262,152 and 394,524

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Solution

The third proportional to 262,152 and 394,524 is: 593,736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,152 : 394,524 = 394,524 : x
  2. Step 2: Convert to fraction form
    262,152/394,524 = 394,524/x
  3. Step 3: Cross multiply
    262,152x = 394,524 × 394,524
  4. Step 4: Simplify right side
    262,152x = 155,649,186,576
  5. Step 5: Solve for x
    x = 155,649,186,576/262,152
  6. Step 6: Final answer
    x = 593,736.41

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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.