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Finding the Third Proportional to 397,242 and 815,413.50

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Solution

The third proportional to 397,242 and 815,413.50 is: 1,673,788.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,242 : 815,413.50 = 815,413.50 : x
  2. Step 2: Convert to fraction form
    397,242/815,413.50 = 815,413.50/x
  3. Step 3: Cross multiply
    397,242x = 815,413.50 × 815,413.50
  4. Step 4: Simplify right side
    397,242x = 664,899,175,982.25
  5. Step 5: Solve for x
    x = 664,899,175,982.25/397,242
  6. Step 6: Final answer
    x = 1,673,788.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.