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Finding the Third Proportional to 273,794 and 409,577

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Solution

The third proportional to 273,794 and 409,577 is: 612,699.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,794 : 409,577 = 409,577 : x
  2. Step 2: Convert to fraction form
    273,794/409,577 = 409,577/x
  3. Step 3: Cross multiply
    273,794x = 409,577 × 409,577
  4. Step 4: Simplify right side
    273,794x = 167,753,318,929
  5. Step 5: Solve for x
    x = 167,753,318,929/273,794
  6. Step 6: Final answer
    x = 612,699.03

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Why These Related Problems?

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