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Finding the Third Proportional to 262,614 and 393,825

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Solution

The third proportional to 262,614 and 393,825 is: 590,593.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,614 : 393,825 = 393,825 : x
  2. Step 2: Convert to fraction form
    262,614/393,825 = 393,825/x
  3. Step 3: Cross multiply
    262,614x = 393,825 × 393,825
  4. Step 4: Simplify right side
    262,614x = 155,098,130,625
  5. Step 5: Solve for x
    x = 155,098,130,625/262,614
  6. Step 6: Final answer
    x = 590,593.54

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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.