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Finding the Third Proportional to 217,048 and 444,652

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Solution

The third proportional to 217,048 and 444,652 is: 910,929.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,048 : 444,652 = 444,652 : x
  2. Step 2: Convert to fraction form
    217,048/444,652 = 444,652/x
  3. Step 3: Cross multiply
    217,048x = 444,652 × 444,652
  4. Step 4: Simplify right side
    217,048x = 197,715,401,104
  5. Step 5: Solve for x
    x = 197,715,401,104/217,048
  6. Step 6: Final answer
    x = 910,929.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.