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Finding the Third Proportional to 430,992.75 and 874,296.75

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Solution

The third proportional to 430,992.75 and 874,296.75 is: 1,773,567.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,992.75 : 874,296.75 = 874,296.75 : x
  2. Step 2: Convert to fraction form
    430,992.75/874,296.75 = 874,296.75/x
  3. Step 3: Cross multiply
    430,992.75x = 874,296.75 × 874,296.75
  4. Step 4: Simplify right side
    430,992.75x = 764,394,807,060.56
  5. Step 5: Solve for x
    x = 764,394,807,060.56/430,992.75
  6. Step 6: Final answer
    x = 1,773,567.67

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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.