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Finding the Third Proportional to 227,673 and 365,809.50

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Solution

The third proportional to 227,673 and 365,809.50 is: 587,757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,673 : 365,809.50 = 365,809.50 : x
  2. Step 2: Convert to fraction form
    227,673/365,809.50 = 365,809.50/x
  3. Step 3: Cross multiply
    227,673x = 365,809.50 × 365,809.50
  4. Step 4: Simplify right side
    227,673x = 133,816,590,290.25
  5. Step 5: Solve for x
    x = 133,816,590,290.25/227,673
  6. Step 6: Final answer
    x = 587,757.84

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.