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Finding the Third Proportional to 347,067 and 773,889

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Solution

The third proportional to 347,067 and 773,889 is: 1,725,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,067 : 773,889 = 773,889 : x
  2. Step 2: Convert to fraction form
    347,067/773,889 = 773,889/x
  3. Step 3: Cross multiply
    347,067x = 773,889 × 773,889
  4. Step 4: Simplify right side
    347,067x = 598,904,184,321
  5. Step 5: Solve for x
    x = 598,904,184,321/347,067
  6. Step 6: Final answer
    x = 1,725,615.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.