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Finding the Third Proportional to 253,619.25 and 599,781.75

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Solution

The third proportional to 253,619.25 and 599,781.75 is: 1,418,418.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,619.25 : 599,781.75 = 599,781.75 : x
  2. Step 2: Convert to fraction form
    253,619.25/599,781.75 = 599,781.75/x
  3. Step 3: Cross multiply
    253,619.25x = 599,781.75 × 599,781.75
  4. Step 4: Simplify right side
    253,619.25x = 359,738,147,633.06
  5. Step 5: Solve for x
    x = 359,738,147,633.06/253,619.25
  6. Step 6: Final answer
    x = 1,418,418.15

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.