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Finding the Third Proportional to 352,851.75 and 751,218.75

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Solution

The third proportional to 352,851.75 and 751,218.75 is: 1,599,339.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,851.75 : 751,218.75 = 751,218.75 : x
  2. Step 2: Convert to fraction form
    352,851.75/751,218.75 = 751,218.75/x
  3. Step 3: Cross multiply
    352,851.75x = 751,218.75 × 751,218.75
  4. Step 4: Simplify right side
    352,851.75x = 564,329,610,351.56
  5. Step 5: Solve for x
    x = 564,329,610,351.56/352,851.75
  6. Step 6: Final answer
    x = 1,599,339.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.