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Finding the Third Proportional to 296,439.75 and 443,854.69

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Solution

The third proportional to 296,439.75 and 443,854.69 is: 664,576.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,439.75 : 443,854.69 = 443,854.69 : x
  2. Step 2: Convert to fraction form
    296,439.75/443,854.69 = 443,854.69/x
  3. Step 3: Cross multiply
    296,439.75x = 443,854.69 × 443,854.69
  4. Step 4: Simplify right side
    296,439.75x = 197,006,983,615.72
  5. Step 5: Solve for x
    x = 197,006,983,615.72/296,439.75
  6. Step 6: Final answer
    x = 664,576.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.