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Finding the Third Proportional to 203,890.50 and 479,714.75

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Solution

The third proportional to 203,890.50 and 479,714.75 is: 1,128,675.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,890.50 : 479,714.75 = 479,714.75 : x
  2. Step 2: Convert to fraction form
    203,890.50/479,714.75 = 479,714.75/x
  3. Step 3: Cross multiply
    203,890.50x = 479,714.75 × 479,714.75
  4. Step 4: Simplify right side
    203,890.50x = 230,126,241,367.56
  5. Step 5: Solve for x
    x = 230,126,241,367.56/203,890.50
  6. Step 6: Final answer
    x = 1,128,675.64

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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.