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Finding the Third Proportional to 299,715.75 and 641,940.75

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Solution

The third proportional to 299,715.75 and 641,940.75 is: 1,374,929.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,715.75 : 641,940.75 = 641,940.75 : x
  2. Step 2: Convert to fraction form
    299,715.75/641,940.75 = 641,940.75/x
  3. Step 3: Cross multiply
    299,715.75x = 641,940.75 × 641,940.75
  4. Step 4: Simplify right side
    299,715.75x = 412,087,926,510.56
  5. Step 5: Solve for x
    x = 412,087,926,510.56/299,715.75
  6. Step 6: Final answer
    x = 1,374,929.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.