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Finding the Third Proportional to 203,783 and 446,933

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Solution

The third proportional to 203,783 and 446,933 is: 980,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,783 : 446,933 = 446,933 : x
  2. Step 2: Convert to fraction form
    203,783/446,933 = 446,933/x
  3. Step 3: Cross multiply
    203,783x = 446,933 × 446,933
  4. Step 4: Simplify right side
    203,783x = 199,749,106,489
  5. Step 5: Solve for x
    x = 199,749,106,489/203,783
  6. Step 6: Final answer
    x = 980,204.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.