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Finding the Third Proportional to 238,975.31 and 488,976.75

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Solution

The third proportional to 238,975.31 and 488,976.75 is: 1,000,514.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,975.31 : 488,976.75 = 488,976.75 : x
  2. Step 2: Convert to fraction form
    238,975.31/488,976.75 = 488,976.75/x
  3. Step 3: Cross multiply
    238,975.31x = 488,976.75 × 488,976.75
  4. Step 4: Simplify right side
    238,975.31x = 239,098,262,040.56
  5. Step 5: Solve for x
    x = 239,098,262,040.56/238,975.31
  6. Step 6: Final answer
    x = 1,000,514.49

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.