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Finding the Third Proportional to 352,067 and 760,250

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Solution

The third proportional to 352,067 and 760,250 is: 1,641,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,067 : 760,250 = 760,250 : x
  2. Step 2: Convert to fraction form
    352,067/760,250 = 760,250/x
  3. Step 3: Cross multiply
    352,067x = 760,250 × 760,250
  4. Step 4: Simplify right side
    352,067x = 577,980,062,500
  5. Step 5: Solve for x
    x = 577,980,062,500/352,067
  6. Step 6: Final answer
    x = 1,641,676.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.