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Finding the Third Proportional to 262,675.13 and 394,012.69

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Solution

The third proportional to 262,675.13 and 394,012.69 is: 591,019.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,675.13 : 394,012.69 = 394,012.69 : x
  2. Step 2: Convert to fraction form
    262,675.13/394,012.69 = 394,012.69/x
  3. Step 3: Cross multiply
    262,675.13x = 394,012.69 × 394,012.69
  4. Step 4: Simplify right side
    262,675.13x = 155,245,997,910.97
  5. Step 5: Solve for x
    x = 155,245,997,910.97/262,675.13
  6. Step 6: Final answer
    x = 591,019.03

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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.