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Finding the Third Proportional to 203,368 and 445,976

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Solution

The third proportional to 203,368 and 445,976 is: 978,003.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,368 : 445,976 = 445,976 : x
  2. Step 2: Convert to fraction form
    203,368/445,976 = 445,976/x
  3. Step 3: Cross multiply
    203,368x = 445,976 × 445,976
  4. Step 4: Simplify right side
    203,368x = 198,894,592,576
  5. Step 5: Solve for x
    x = 198,894,592,576/203,368
  6. Step 6: Final answer
    x = 978,003.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.