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Finding the Third Proportional to 365,476 and 880,474

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Solution

The third proportional to 365,476 and 880,474 is: 2,121,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,476 : 880,474 = 880,474 : x
  2. Step 2: Convert to fraction form
    365,476/880,474 = 880,474/x
  3. Step 3: Cross multiply
    365,476x = 880,474 × 880,474
  4. Step 4: Simplify right side
    365,476x = 775,234,464,676
  5. Step 5: Solve for x
    x = 775,234,464,676/365,476
  6. Step 6: Final answer
    x = 2,121,163.81

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.