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Finding the Third Proportional to 203,804 and 446,934

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Solution

The third proportional to 203,804 and 446,934 is: 980,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,804 : 446,934 = 446,934 : x
  2. Step 2: Convert to fraction form
    203,804/446,934 = 446,934/x
  3. Step 3: Cross multiply
    203,804x = 446,934 × 446,934
  4. Step 4: Simplify right side
    203,804x = 199,750,000,356
  5. Step 5: Solve for x
    x = 199,750,000,356/203,804
  6. Step 6: Final answer
    x = 980,108.34

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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.