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Finding the Third Proportional to 339,912.50 and 476,494

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Solution

The third proportional to 339,912.50 and 476,494 is: 667,955.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,912.50 : 476,494 = 476,494 : x
  2. Step 2: Convert to fraction form
    339,912.50/476,494 = 476,494/x
  3. Step 3: Cross multiply
    339,912.50x = 476,494 × 476,494
  4. Step 4: Simplify right side
    339,912.50x = 227,046,532,036
  5. Step 5: Solve for x
    x = 227,046,532,036/339,912.50
  6. Step 6: Final answer
    x = 667,955.82

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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.