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Finding the Third Proportional to 322,116 and 727,749

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Solution

The third proportional to 322,116 and 727,749 is: 1,644,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,116 : 727,749 = 727,749 : x
  2. Step 2: Convert to fraction form
    322,116/727,749 = 727,749/x
  3. Step 3: Cross multiply
    322,116x = 727,749 × 727,749
  4. Step 4: Simplify right side
    322,116x = 529,618,607,001
  5. Step 5: Solve for x
    x = 529,618,607,001/322,116
  6. Step 6: Final answer
    x = 1,644,185.97

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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.