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Finding the Third Proportional to 543,922.50 and 764,610

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Solution

The third proportional to 543,922.50 and 764,610 is: 1,074,837.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,922.50 : 764,610 = 764,610 : x
  2. Step 2: Convert to fraction form
    543,922.50/764,610 = 764,610/x
  3. Step 3: Cross multiply
    543,922.50x = 764,610 × 764,610
  4. Step 4: Simplify right side
    543,922.50x = 584,628,452,100
  5. Step 5: Solve for x
    x = 584,628,452,100/543,922.50
  6. Step 6: Final answer
    x = 1,074,837.78

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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.