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Finding the Third Proportional to 203,891 and 479,717

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Solution

The third proportional to 203,891 and 479,717 is: 1,128,683.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,891 : 479,717 = 479,717 : x
  2. Step 2: Convert to fraction form
    203,891/479,717 = 479,717/x
  3. Step 3: Cross multiply
    203,891x = 479,717 × 479,717
  4. Step 4: Simplify right side
    203,891x = 230,128,400,089
  5. Step 5: Solve for x
    x = 230,128,400,089/203,891
  6. Step 6: Final answer
    x = 1,128,683.46

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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.