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Finding the Third Proportional to 322,110 and 727,734

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Solution

The third proportional to 322,110 and 727,734 is: 1,644,148.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,110 : 727,734 = 727,734 : x
  2. Step 2: Convert to fraction form
    322,110/727,734 = 727,734/x
  3. Step 3: Cross multiply
    322,110x = 727,734 × 727,734
  4. Step 4: Simplify right side
    322,110x = 529,596,774,756
  5. Step 5: Solve for x
    x = 529,596,774,756/322,110
  6. Step 6: Final answer
    x = 1,644,148.81

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.