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Finding the Third Proportional to 252,448.75 and 388,003.25

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Solution

The third proportional to 252,448.75 and 388,003.25 is: 596,344.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,448.75 : 388,003.25 = 388,003.25 : x
  2. Step 2: Convert to fraction form
    252,448.75/388,003.25 = 388,003.25/x
  3. Step 3: Cross multiply
    252,448.75x = 388,003.25 × 388,003.25
  4. Step 4: Simplify right side
    252,448.75x = 150,546,522,010.56
  5. Step 5: Solve for x
    x = 150,546,522,010.56/252,448.75
  6. Step 6: Final answer
    x = 596,344.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.