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Finding the Third Proportional to 262,512 and 396,900

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Solution

The third proportional to 262,512 and 396,900 is: 600,085.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,512 : 396,900 = 396,900 : x
  2. Step 2: Convert to fraction form
    262,512/396,900 = 396,900/x
  3. Step 3: Cross multiply
    262,512x = 396,900 × 396,900
  4. Step 4: Simplify right side
    262,512x = 157,529,610,000
  5. Step 5: Solve for x
    x = 157,529,610,000/262,512
  6. Step 6: Final answer
    x = 600,085.37

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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.