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Finding the Third Proportional to 311,812.13 and 344,617.13

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Solution

The third proportional to 311,812.13 and 344,617.13 is: 380,873.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,812.13 : 344,617.13 = 344,617.13 : x
  2. Step 2: Convert to fraction form
    311,812.13/344,617.13 = 344,617.13/x
  3. Step 3: Cross multiply
    311,812.13x = 344,617.13 × 344,617.13
  4. Step 4: Simplify right side
    311,812.13x = 118,760,962,843.27
  5. Step 5: Solve for x
    x = 118,760,962,843.27/311,812.13
  6. Step 6: Final answer
    x = 380,873.46

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.