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Finding the Third Proportional to 203,578 and 444,871

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Solution

The third proportional to 203,578 and 444,871 is: 972,159.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,578 : 444,871 = 444,871 : x
  2. Step 2: Convert to fraction form
    203,578/444,871 = 444,871/x
  3. Step 3: Cross multiply
    203,578x = 444,871 × 444,871
  4. Step 4: Simplify right side
    203,578x = 197,910,206,641
  5. Step 5: Solve for x
    x = 197,910,206,641/203,578
  6. Step 6: Final answer
    x = 972,159.11

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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.