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Finding the Third Proportional to 352,839 and 775,662

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Solution

The third proportional to 352,839 and 775,662 is: 1,705,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,839 : 775,662 = 775,662 : x
  2. Step 2: Convert to fraction form
    352,839/775,662 = 775,662/x
  3. Step 3: Cross multiply
    352,839x = 775,662 × 775,662
  4. Step 4: Simplify right side
    352,839x = 601,651,538,244
  5. Step 5: Solve for x
    x = 601,651,538,244/352,839
  6. Step 6: Final answer
    x = 1,705,173.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.