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Finding the Third Proportional to 512,802.75 and 796,082.75

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Solution

The third proportional to 512,802.75 and 796,082.75 is: 1,235,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,802.75 : 796,082.75 = 796,082.75 : x
  2. Step 2: Convert to fraction form
    512,802.75/796,082.75 = 796,082.75/x
  3. Step 3: Cross multiply
    512,802.75x = 796,082.75 × 796,082.75
  4. Step 4: Simplify right side
    512,802.75x = 633,747,744,847.56
  5. Step 5: Solve for x
    x = 633,747,744,847.56/512,802.75
  6. Step 6: Final answer
    x = 1,235,850.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.