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Finding the Third Proportional to 363,413.25 and 541,568.25

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Solution

The third proportional to 363,413.25 and 541,568.25 is: 807,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,413.25 : 541,568.25 = 541,568.25 : x
  2. Step 2: Convert to fraction form
    363,413.25/541,568.25 = 541,568.25/x
  3. Step 3: Cross multiply
    363,413.25x = 541,568.25 × 541,568.25
  4. Step 4: Simplify right side
    363,413.25x = 293,296,169,408.06
  5. Step 5: Solve for x
    x = 293,296,169,408.06/363,413.25
  6. Step 6: Final answer
    x = 807,059.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.