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Finding the Third Proportional to 217,615.50 and 454,914

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Solution

The third proportional to 217,615.50 and 454,914 is: 950,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,615.50 : 454,914 = 454,914 : x
  2. Step 2: Convert to fraction form
    217,615.50/454,914 = 454,914/x
  3. Step 3: Cross multiply
    217,615.50x = 454,914 × 454,914
  4. Step 4: Simplify right side
    217,615.50x = 206,946,747,396
  5. Step 5: Solve for x
    x = 206,946,747,396/217,615.50
  6. Step 6: Final answer
    x = 950,974.30

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.