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Finding the Third Proportional to 299,736.50 and 641,984

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Solution

The third proportional to 299,736.50 and 641,984 is: 1,375,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,736.50 : 641,984 = 641,984 : x
  2. Step 2: Convert to fraction form
    299,736.50/641,984 = 641,984/x
  3. Step 3: Cross multiply
    299,736.50x = 641,984 × 641,984
  4. Step 4: Simplify right side
    299,736.50x = 412,143,456,256
  5. Step 5: Solve for x
    x = 412,143,456,256/299,736.50
  6. Step 6: Final answer
    x = 1,375,019.25

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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.