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Finding the Third Proportional to 231,779.81 and 481,323.38

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Solution

The third proportional to 231,779.81 and 481,323.38 is: 999,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,779.81 : 481,323.38 = 481,323.38 : x
  2. Step 2: Convert to fraction form
    231,779.81/481,323.38 = 481,323.38/x
  3. Step 3: Cross multiply
    231,779.81x = 481,323.38 × 481,323.38
  4. Step 4: Simplify right side
    231,779.81x = 231,672,191,321.39
  5. Step 5: Solve for x
    x = 231,672,191,321.39/231,779.81
  6. Step 6: Final answer
    x = 999,535.67

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.