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Finding the Third Proportional to 512,082 and 775,197

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Solution

The third proportional to 512,082 and 775,197 is: 1,173,504.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,082 : 775,197 = 775,197 : x
  2. Step 2: Convert to fraction form
    512,082/775,197 = 775,197/x
  3. Step 3: Cross multiply
    512,082x = 775,197 × 775,197
  4. Step 4: Simplify right side
    512,082x = 600,930,388,809
  5. Step 5: Solve for x
    x = 600,930,388,809/512,082
  6. Step 6: Final answer
    x = 1,173,504.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.