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Finding the Third Proportional to 217,446.75 and 441,040.50

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Solution

The third proportional to 217,446.75 and 441,040.50 is: 894,548.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,446.75 : 441,040.50 = 441,040.50 : x
  2. Step 2: Convert to fraction form
    217,446.75/441,040.50 = 441,040.50/x
  3. Step 3: Cross multiply
    217,446.75x = 441,040.50 × 441,040.50
  4. Step 4: Simplify right side
    217,446.75x = 194,516,722,640.25
  5. Step 5: Solve for x
    x = 194,516,722,640.25/217,446.75
  6. Step 6: Final answer
    x = 894,548.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.