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Finding the Third Proportional to 387,194.06 and 830,413.13

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Solution

The third proportional to 387,194.06 and 830,413.13 is: 1,780,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,194.06 : 830,413.13 = 830,413.13 : x
  2. Step 2: Convert to fraction form
    387,194.06/830,413.13 = 830,413.13/x
  3. Step 3: Cross multiply
    387,194.06x = 830,413.13 × 830,413.13
  4. Step 4: Simplify right side
    387,194.06x = 689,585,958,172.27
  5. Step 5: Solve for x
    x = 689,585,958,172.27/387,194.06
  6. Step 6: Final answer
    x = 1,780,982.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.