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Finding the Third Proportional to 543,933 and 764,625

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Solution

The third proportional to 543,933 and 764,625 is: 1,074,859.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,933 : 764,625 = 764,625 : x
  2. Step 2: Convert to fraction form
    543,933/764,625 = 764,625/x
  3. Step 3: Cross multiply
    543,933x = 764,625 × 764,625
  4. Step 4: Simplify right side
    543,933x = 584,651,390,625
  5. Step 5: Solve for x
    x = 584,651,390,625/543,933
  6. Step 6: Final answer
    x = 1,074,859.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.