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Finding the Third Proportional to 352,796 and 762,181

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Solution

The third proportional to 352,796 and 762,181 is: 1,646,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,796 : 762,181 = 762,181 : x
  2. Step 2: Convert to fraction form
    352,796/762,181 = 762,181/x
  3. Step 3: Cross multiply
    352,796x = 762,181 × 762,181
  4. Step 4: Simplify right side
    352,796x = 580,919,876,761
  5. Step 5: Solve for x
    x = 580,919,876,761/352,796
  6. Step 6: Final answer
    x = 1,646,616.96

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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.