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Finding the Third Proportional to 347,051 and 773,857

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Solution

The third proportional to 347,051 and 773,857 is: 1,725,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,051 : 773,857 = 773,857 : x
  2. Step 2: Convert to fraction form
    347,051/773,857 = 773,857/x
  3. Step 3: Cross multiply
    347,051x = 773,857 × 773,857
  4. Step 4: Simplify right side
    347,051x = 598,854,656,449
  5. Step 5: Solve for x
    x = 598,854,656,449/347,051
  6. Step 6: Final answer
    x = 1,725,552.31

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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.