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Finding the Third Proportional to 203,906 and 474,080

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Solution

The third proportional to 203,906 and 474,080 is: 1,102,232.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906 : 474,080 = 474,080 : x
  2. Step 2: Convert to fraction form
    203,906/474,080 = 474,080/x
  3. Step 3: Cross multiply
    203,906x = 474,080 × 474,080
  4. Step 4: Simplify right side
    203,906x = 224,751,846,400
  5. Step 5: Solve for x
    x = 224,751,846,400/203,906
  6. Step 6: Final answer
    x = 1,102,232.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.