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Finding the Third Proportional to 366,992 and 795,744

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Solution

The third proportional to 366,992 and 795,744 is: 1,725,401.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,992 : 795,744 = 795,744 : x
  2. Step 2: Convert to fraction form
    366,992/795,744 = 795,744/x
  3. Step 3: Cross multiply
    366,992x = 795,744 × 795,744
  4. Step 4: Simplify right side
    366,992x = 633,208,513,536
  5. Step 5: Solve for x
    x = 633,208,513,536/366,992
  6. Step 6: Final answer
    x = 1,725,401.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.