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Finding the Third Proportional to 383,413.06 and 830,724.69

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Solution

The third proportional to 383,413.06 and 830,724.69 is: 1,799,895.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,413.06 : 830,724.69 = 830,724.69 : x
  2. Step 2: Convert to fraction form
    383,413.06/830,724.69 = 830,724.69/x
  3. Step 3: Cross multiply
    383,413.06x = 830,724.69 × 830,724.69
  4. Step 4: Simplify right side
    383,413.06x = 690,103,508,044.54
  5. Step 5: Solve for x
    x = 690,103,508,044.54/383,413.06
  6. Step 6: Final answer
    x = 1,799,895.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.