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Finding the Third Proportional to 412,836.75 and 623,413.13

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Solution

The third proportional to 412,836.75 and 623,413.13 is: 941,398.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,836.75 : 623,413.13 = 623,413.13 : x
  2. Step 2: Convert to fraction form
    412,836.75/623,413.13 = 623,413.13/x
  3. Step 3: Cross multiply
    412,836.75x = 623,413.13 × 623,413.13
  4. Step 4: Simplify right side
    412,836.75x = 388,643,924,422.27
  5. Step 5: Solve for x
    x = 388,643,924,422.27/412,836.75
  6. Step 6: Final answer
    x = 941,398.57

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.