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Finding the Third Proportional to 361,469.50 and 785,163.50

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Solution

The third proportional to 361,469.50 and 785,163.50 is: 1,705,487.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,469.50 : 785,163.50 = 785,163.50 : x
  2. Step 2: Convert to fraction form
    361,469.50/785,163.50 = 785,163.50/x
  3. Step 3: Cross multiply
    361,469.50x = 785,163.50 × 785,163.50
  4. Step 4: Simplify right side
    361,469.50x = 616,481,721,732.25
  5. Step 5: Solve for x
    x = 616,481,721,732.25/361,469.50
  6. Step 6: Final answer
    x = 1,705,487.52

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.