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Finding the Third Proportional to 265,728 and 397,512

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Solution

The third proportional to 265,728 and 397,512 is: 594,652.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,728 : 397,512 = 397,512 : x
  2. Step 2: Convert to fraction form
    265,728/397,512 = 397,512/x
  3. Step 3: Cross multiply
    265,728x = 397,512 × 397,512
  4. Step 4: Simplify right side
    265,728x = 158,015,790,144
  5. Step 5: Solve for x
    x = 158,015,790,144/265,728
  6. Step 6: Final answer
    x = 594,652.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.