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Finding the Third Proportional to 252,481.50 and 388,062

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Solution

The third proportional to 252,481.50 and 388,062 is: 596,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,481.50 : 388,062 = 388,062 : x
  2. Step 2: Convert to fraction form
    252,481.50/388,062 = 388,062/x
  3. Step 3: Cross multiply
    252,481.50x = 388,062 × 388,062
  4. Step 4: Simplify right side
    252,481.50x = 150,592,115,844
  5. Step 5: Solve for x
    x = 150,592,115,844/252,481.50
  6. Step 6: Final answer
    x = 596,448.12

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