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Finding the Third Proportional to 258,512.63 and 388,042.31

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Solution

The third proportional to 258,512.63 and 388,042.31 is: 582,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,512.63 : 388,042.31 = 388,042.31 : x
  2. Step 2: Convert to fraction form
    258,512.63/388,042.31 = 388,042.31/x
  3. Step 3: Cross multiply
    258,512.63x = 388,042.31 × 388,042.31
  4. Step 4: Simplify right side
    258,512.63x = 150,576,836,290.35
  5. Step 5: Solve for x
    x = 150,576,836,290.35/258,512.63
  6. Step 6: Final answer
    x = 582,473.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.