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Finding the Third Proportional to 525,193 and 764,825

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Solution

The third proportional to 525,193 and 764,825 is: 1,113,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,193 : 764,825 = 764,825 : x
  2. Step 2: Convert to fraction form
    525,193/764,825 = 764,825/x
  3. Step 3: Cross multiply
    525,193x = 764,825 × 764,825
  4. Step 4: Simplify right side
    525,193x = 584,957,280,625
  5. Step 5: Solve for x
    x = 584,957,280,625/525,193
  6. Step 6: Final answer
    x = 1,113,794.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.