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Finding the Third Proportional to 311,436.56 and 480,934.13

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Solution

The third proportional to 311,436.56 and 480,934.13 is: 742,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,436.56 : 480,934.13 = 480,934.13 : x
  2. Step 2: Convert to fraction form
    311,436.56/480,934.13 = 480,934.13/x
  3. Step 3: Cross multiply
    311,436.56x = 480,934.13 × 480,934.13
  4. Step 4: Simplify right side
    311,436.56x = 231,297,632,589.52
  5. Step 5: Solve for x
    x = 231,297,632,589.52/311,436.56
  6. Step 6: Final answer
    x = 742,679.76

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.