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Finding the Third Proportional to 262,180 and 395,418

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Solution

The third proportional to 262,180 and 395,418 is: 596,366.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,180 : 395,418 = 395,418 : x
  2. Step 2: Convert to fraction form
    262,180/395,418 = 395,418/x
  3. Step 3: Cross multiply
    262,180x = 395,418 × 395,418
  4. Step 4: Simplify right side
    262,180x = 156,355,394,724
  5. Step 5: Solve for x
    x = 156,355,394,724/262,180
  6. Step 6: Final answer
    x = 596,366.60

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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.