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Finding the Third Proportional to 203,008 and 446,516

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Solution

The third proportional to 203,008 and 446,516 is: 982,111.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,008 : 446,516 = 446,516 : x
  2. Step 2: Convert to fraction form
    203,008/446,516 = 446,516/x
  3. Step 3: Cross multiply
    203,008x = 446,516 × 446,516
  4. Step 4: Simplify right side
    203,008x = 199,376,538,256
  5. Step 5: Solve for x
    x = 199,376,538,256/203,008
  6. Step 6: Final answer
    x = 982,111.73

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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.