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Finding the Third Proportional to 311,982.75 and 638,748

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Solution

The third proportional to 311,982.75 and 638,748 is: 1,307,761.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,982.75 : 638,748 = 638,748 : x
  2. Step 2: Convert to fraction form
    311,982.75/638,748 = 638,748/x
  3. Step 3: Cross multiply
    311,982.75x = 638,748 × 638,748
  4. Step 4: Simplify right side
    311,982.75x = 407,999,007,504
  5. Step 5: Solve for x
    x = 407,999,007,504/311,982.75
  6. Step 6: Final answer
    x = 1,307,761.43

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.