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Finding the Third Proportional to 332,860 and 727,997

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Solution

The third proportional to 332,860 and 727,997 is: 1,592,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,860 : 727,997 = 727,997 : x
  2. Step 2: Convert to fraction form
    332,860/727,997 = 727,997/x
  3. Step 3: Cross multiply
    332,860x = 727,997 × 727,997
  4. Step 4: Simplify right side
    332,860x = 529,979,632,009
  5. Step 5: Solve for x
    x = 529,979,632,009/332,860
  6. Step 6: Final answer
    x = 1,592,199.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.