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Finding the Third Proportional to 203,848 and 479,642

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Solution

The third proportional to 203,848 and 479,642 is: 1,128,568.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,848 : 479,642 = 479,642 : x
  2. Step 2: Convert to fraction form
    203,848/479,642 = 479,642/x
  3. Step 3: Cross multiply
    203,848x = 479,642 × 479,642
  4. Step 4: Simplify right side
    203,848x = 230,056,448,164
  5. Step 5: Solve for x
    x = 230,056,448,164/203,848
  6. Step 6: Final answer
    x = 1,128,568.58

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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.