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Finding the Third Proportional to 364,180.50 and 800,633.25

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Solution

The third proportional to 364,180.50 and 800,633.25 is: 1,760,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,180.50 : 800,633.25 = 800,633.25 : x
  2. Step 2: Convert to fraction form
    364,180.50/800,633.25 = 800,633.25/x
  3. Step 3: Cross multiply
    364,180.50x = 800,633.25 × 800,633.25
  4. Step 4: Simplify right side
    364,180.50x = 641,013,601,005.56
  5. Step 5: Solve for x
    x = 641,013,601,005.56/364,180.50
  6. Step 6: Final answer
    x = 1,760,153.55

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.