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Finding the Third Proportional to 284,473.50 and 605,150.25

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Solution

The third proportional to 284,473.50 and 605,150.25 is: 1,287,314.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,473.50 : 605,150.25 = 605,150.25 : x
  2. Step 2: Convert to fraction form
    284,473.50/605,150.25 = 605,150.25/x
  3. Step 3: Cross multiply
    284,473.50x = 605,150.25 × 605,150.25
  4. Step 4: Simplify right side
    284,473.50x = 366,206,825,075.06
  5. Step 5: Solve for x
    x = 366,206,825,075.06/284,473.50
  6. Step 6: Final answer
    x = 1,287,314.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.