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Finding the Third Proportional to 493,229.25 and 739,912.22

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Solution

The third proportional to 493,229.25 and 739,912.22 is: 1,109,970.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,229.25 : 739,912.22 = 739,912.22 : x
  2. Step 2: Convert to fraction form
    493,229.25/739,912.22 = 739,912.22/x
  3. Step 3: Cross multiply
    493,229.25x = 739,912.22 × 739,912.22
  4. Step 4: Simplify right side
    493,229.25x = 547,470,091,455.55
  5. Step 5: Solve for x
    x = 547,470,091,455.55/493,229.25
  6. Step 6: Final answer
    x = 1,109,970.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.