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Finding the Third Proportional to 278,013.75 and 605,923.50

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Solution

The third proportional to 278,013.75 and 605,923.50 is: 1,320,593.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,013.75 : 605,923.50 = 605,923.50 : x
  2. Step 2: Convert to fraction form
    278,013.75/605,923.50 = 605,923.50/x
  3. Step 3: Cross multiply
    278,013.75x = 605,923.50 × 605,923.50
  4. Step 4: Simplify right side
    278,013.75x = 367,143,287,852.25
  5. Step 5: Solve for x
    x = 367,143,287,852.25/278,013.75
  6. Step 6: Final answer
    x = 1,320,593.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.