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Finding the Third Proportional to 203,084 and 440,064

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Solution

The third proportional to 203,084 and 440,064 is: 953,577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,084 : 440,064 = 440,064 : x
  2. Step 2: Convert to fraction form
    203,084/440,064 = 440,064/x
  3. Step 3: Cross multiply
    203,084x = 440,064 × 440,064
  4. Step 4: Simplify right side
    203,084x = 193,656,324,096
  5. Step 5: Solve for x
    x = 193,656,324,096/203,084
  6. Step 6: Final answer
    x = 953,577.46

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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.