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Finding the Third Proportional to 203,893 and 479,722

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Solution

The third proportional to 203,893 and 479,722 is: 1,128,695.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,893 : 479,722 = 479,722 : x
  2. Step 2: Convert to fraction form
    203,893/479,722 = 479,722/x
  3. Step 3: Cross multiply
    203,893x = 479,722 × 479,722
  4. Step 4: Simplify right side
    203,893x = 230,133,197,284
  5. Step 5: Solve for x
    x = 230,133,197,284/203,893
  6. Step 6: Final answer
    x = 1,128,695.92

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.