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Finding the Third Proportional to 303,613.31 and 445,576.78

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Solution

The third proportional to 303,613.31 and 445,576.78 is: 653,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,613.31 : 445,576.78 = 445,576.78 : x
  2. Step 2: Convert to fraction form
    303,613.31/445,576.78 = 445,576.78/x
  3. Step 3: Cross multiply
    303,613.31x = 445,576.78 × 445,576.78
  4. Step 4: Simplify right side
    303,613.31x = 198,538,667,989.11
  5. Step 5: Solve for x
    x = 198,538,667,989.11/303,613.31
  6. Step 6: Final answer
    x = 653,919.51

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.