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Finding the Third Proportional to 203,007 and 446,514

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Solution

The third proportional to 203,007 and 446,514 is: 982,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,007 : 446,514 = 446,514 : x
  2. Step 2: Convert to fraction form
    203,007/446,514 = 446,514/x
  3. Step 3: Cross multiply
    203,007x = 446,514 × 446,514
  4. Step 4: Simplify right side
    203,007x = 199,374,752,196
  5. Step 5: Solve for x
    x = 199,374,752,196/203,007
  6. Step 6: Final answer
    x = 982,107.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.