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Finding the Third Proportional to 395,413.13 and 818,862.75

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Solution

The third proportional to 395,413.13 and 818,862.75 is: 1,695,786.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,413.13 : 818,862.75 = 818,862.75 : x
  2. Step 2: Convert to fraction form
    395,413.13/818,862.75 = 818,862.75/x
  3. Step 3: Cross multiply
    395,413.13x = 818,862.75 × 818,862.75
  4. Step 4: Simplify right side
    395,413.13x = 670,536,203,337.56
  5. Step 5: Solve for x
    x = 670,536,203,337.56/395,413.13
  6. Step 6: Final answer
    x = 1,695,786.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.