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Finding the Third Proportional to 405,750.44 and 633,190.96

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Solution

The third proportional to 405,750.44 and 633,190.96 is: 988,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,750.44 : 633,190.96 = 633,190.96 : x
  2. Step 2: Convert to fraction form
    405,750.44/633,190.96 = 633,190.96/x
  3. Step 3: Cross multiply
    405,750.44x = 633,190.96 × 633,190.96
  4. Step 4: Simplify right side
    405,750.44x = 400,930,793,631.33
  5. Step 5: Solve for x
    x = 400,930,793,631.33/405,750.44
  6. Step 6: Final answer
    x = 988,121.66

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.