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Finding the Third Proportional to 361,466 and 541,105

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Solution

The third proportional to 361,466 and 541,105 is: 810,019.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,466 : 541,105 = 541,105 : x
  2. Step 2: Convert to fraction form
    361,466/541,105 = 541,105/x
  3. Step 3: Cross multiply
    361,466x = 541,105 × 541,105
  4. Step 4: Simplify right side
    361,466x = 292,794,621,025
  5. Step 5: Solve for x
    x = 292,794,621,025/361,466
  6. Step 6: Final answer
    x = 810,019.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.