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Finding the Third Proportional to 352,809 and 773,172

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Solution

The third proportional to 352,809 and 773,172 is: 1,694,386.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,809 : 773,172 = 773,172 : x
  2. Step 2: Convert to fraction form
    352,809/773,172 = 773,172/x
  3. Step 3: Cross multiply
    352,809x = 773,172 × 773,172
  4. Step 4: Simplify right side
    352,809x = 597,794,941,584
  5. Step 5: Solve for x
    x = 597,794,941,584/352,809
  6. Step 6: Final answer
    x = 1,694,386.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.