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Finding the Third Proportional to 279,075 and 605,413.50

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Solution

The third proportional to 279,075 and 605,413.50 is: 1,313,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,075 : 605,413.50 = 605,413.50 : x
  2. Step 2: Convert to fraction form
    279,075/605,413.50 = 605,413.50/x
  3. Step 3: Cross multiply
    279,075x = 605,413.50 × 605,413.50
  4. Step 4: Simplify right side
    279,075x = 366,525,505,982.25
  5. Step 5: Solve for x
    x = 366,525,505,982.25/279,075
  6. Step 6: Final answer
    x = 1,313,358.44

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