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Finding the Third Proportional to 217,743 and 444,232

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Solution

The third proportional to 217,743 and 444,232 is: 906,307.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,743 : 444,232 = 444,232 : x
  2. Step 2: Convert to fraction form
    217,743/444,232 = 444,232/x
  3. Step 3: Cross multiply
    217,743x = 444,232 × 444,232
  4. Step 4: Simplify right side
    217,743x = 197,342,069,824
  5. Step 5: Solve for x
    x = 197,342,069,824/217,743
  6. Step 6: Final answer
    x = 906,307.30

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Why These Related Problems?

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