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Finding the Third Proportional to 325,951.88 and 518,654.25

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Solution

The third proportional to 325,951.88 and 518,654.25 is: 825,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,951.88 : 518,654.25 = 518,654.25 : x
  2. Step 2: Convert to fraction form
    325,951.88/518,654.25 = 518,654.25/x
  3. Step 3: Cross multiply
    325,951.88x = 518,654.25 × 518,654.25
  4. Step 4: Simplify right side
    325,951.88x = 269,002,231,043.06
  5. Step 5: Solve for x
    x = 269,002,231,043.06/325,951.88
  6. Step 6: Final answer
    x = 825,282.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.