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Finding the Third Proportional to 234,586 and 512,177

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Solution

The third proportional to 234,586 and 512,177 is: 1,118,247.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,586 : 512,177 = 512,177 : x
  2. Step 2: Convert to fraction form
    234,586/512,177 = 512,177/x
  3. Step 3: Cross multiply
    234,586x = 512,177 × 512,177
  4. Step 4: Simplify right side
    234,586x = 262,325,279,329
  5. Step 5: Solve for x
    x = 262,325,279,329/234,586
  6. Step 6: Final answer
    x = 1,118,247.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.