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Finding the Third Proportional to 262,678 and 395,962

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Solution

The third proportional to 262,678 and 395,962 is: 596,874.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,678 : 395,962 = 395,962 : x
  2. Step 2: Convert to fraction form
    262,678/395,962 = 395,962/x
  3. Step 3: Cross multiply
    262,678x = 395,962 × 395,962
  4. Step 4: Simplify right side
    262,678x = 156,785,905,444
  5. Step 5: Solve for x
    x = 156,785,905,444/262,678
  6. Step 6: Final answer
    x = 596,874.90

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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.