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Finding the Third Proportional to 364,377 and 800,493

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Solution

The third proportional to 364,377 and 800,493 is: 1,758,588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,377 : 800,493 = 800,493 : x
  2. Step 2: Convert to fraction form
    364,377/800,493 = 800,493/x
  3. Step 3: Cross multiply
    364,377x = 800,493 × 800,493
  4. Step 4: Simplify right side
    364,377x = 640,789,043,049
  5. Step 5: Solve for x
    x = 640,789,043,049/364,377
  6. Step 6: Final answer
    x = 1,758,588.06

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