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Finding the Third Proportional to 203,786.50 and 479,501

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Solution

The third proportional to 203,786.50 and 479,501 is: 1,128,245.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,786.50 : 479,501 = 479,501 : x
  2. Step 2: Convert to fraction form
    203,786.50/479,501 = 479,501/x
  3. Step 3: Cross multiply
    203,786.50x = 479,501 × 479,501
  4. Step 4: Simplify right side
    203,786.50x = 229,921,209,001
  5. Step 5: Solve for x
    x = 229,921,209,001/203,786.50
  6. Step 6: Final answer
    x = 1,128,245.54

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.