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Finding the Third Proportional to 268,562 and 363,450

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Solution

The third proportional to 268,562 and 363,450 is: 491,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,562 : 363,450 = 363,450 : x
  2. Step 2: Convert to fraction form
    268,562/363,450 = 363,450/x
  3. Step 3: Cross multiply
    268,562x = 363,450 × 363,450
  4. Step 4: Simplify right side
    268,562x = 132,095,902,500
  5. Step 5: Solve for x
    x = 132,095,902,500/268,562
  6. Step 6: Final answer
    x = 491,863.71

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.