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Finding the Third Proportional to 203,544 and 440,970

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Solution

The third proportional to 203,544 and 440,970 is: 955,344.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,544 : 440,970 = 440,970 : x
  2. Step 2: Convert to fraction form
    203,544/440,970 = 440,970/x
  3. Step 3: Cross multiply
    203,544x = 440,970 × 440,970
  4. Step 4: Simplify right side
    203,544x = 194,454,540,900
  5. Step 5: Solve for x
    x = 194,454,540,900/203,544
  6. Step 6: Final answer
    x = 955,344.01

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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.