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Finding the Third Proportional to 764,265.38 and 1,071,199.69

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Solution

The third proportional to 764,265.38 and 1,071,199.69 is: 1,501,400.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,265.38 : 1,071,199.69 = 1,071,199.69 : x
  2. Step 2: Convert to fraction form
    764,265.38/1,071,199.69 = 1,071,199.69/x
  3. Step 3: Cross multiply
    764,265.38x = 1,071,199.69 × 1,071,199.69
  4. Step 4: Simplify right side
    764,265.38x = 1,147,468,770,500.10
  5. Step 5: Solve for x
    x = 1,147,468,770,500.10/764,265.38
  6. Step 6: Final answer
    x = 1,501,400.96

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.