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Finding the Third Proportional to 224,109 and 485,577

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Solution

The third proportional to 224,109 and 485,577 is: 1,052,099.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,109 : 485,577 = 485,577 : x
  2. Step 2: Convert to fraction form
    224,109/485,577 = 485,577/x
  3. Step 3: Cross multiply
    224,109x = 485,577 × 485,577
  4. Step 4: Simplify right side
    224,109x = 235,785,022,929
  5. Step 5: Solve for x
    x = 235,785,022,929/224,109
  6. Step 6: Final answer
    x = 1,052,099.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.