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Finding the Third Proportional to 364,586 and 800,884

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Solution

The third proportional to 364,586 and 800,884 is: 1,759,297.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,586 : 800,884 = 800,884 : x
  2. Step 2: Convert to fraction form
    364,586/800,884 = 800,884/x
  3. Step 3: Cross multiply
    364,586x = 800,884 × 800,884
  4. Step 4: Simplify right side
    364,586x = 641,415,181,456
  5. Step 5: Solve for x
    x = 641,415,181,456/364,586
  6. Step 6: Final answer
    x = 1,759,297.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.