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Finding the Third Proportional to 364,422 and 800,592

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Solution

The third proportional to 364,422 and 800,592 is: 1,758,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,422 : 800,592 = 800,592 : x
  2. Step 2: Convert to fraction form
    364,422/800,592 = 800,592/x
  3. Step 3: Cross multiply
    364,422x = 800,592 × 800,592
  4. Step 4: Simplify right side
    364,422x = 640,947,550,464
  5. Step 5: Solve for x
    x = 640,947,550,464/364,422
  6. Step 6: Final answer
    x = 1,758,805.86

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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.