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Finding the Third Proportional to 364,365 and 800,469

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Solution

The third proportional to 364,365 and 800,469 is: 1,758,540.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,365 : 800,469 = 800,469 : x
  2. Step 2: Convert to fraction form
    364,365/800,469 = 800,469/x
  3. Step 3: Cross multiply
    364,365x = 800,469 × 800,469
  4. Step 4: Simplify right side
    364,365x = 640,750,619,961
  5. Step 5: Solve for x
    x = 640,750,619,961/364,365
  6. Step 6: Final answer
    x = 1,758,540.53

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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.