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Finding the Third Proportional to 217,739.50 and 444,225.50

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Solution

The third proportional to 217,739.50 and 444,225.50 is: 906,295.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,739.50 : 444,225.50 = 444,225.50 : x
  2. Step 2: Convert to fraction form
    217,739.50/444,225.50 = 444,225.50/x
  3. Step 3: Cross multiply
    217,739.50x = 444,225.50 × 444,225.50
  4. Step 4: Simplify right side
    217,739.50x = 197,336,294,850.25
  5. Step 5: Solve for x
    x = 197,336,294,850.25/217,739.50
  6. Step 6: Final answer
    x = 906,295.34

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.