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Finding the Third Proportional to 207,380 and 444,232

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Solution

The third proportional to 207,380 and 444,232 is: 951,596.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,380 : 444,232 = 444,232 : x
  2. Step 2: Convert to fraction form
    207,380/444,232 = 444,232/x
  3. Step 3: Cross multiply
    207,380x = 444,232 × 444,232
  4. Step 4: Simplify right side
    207,380x = 197,342,069,824
  5. Step 5: Solve for x
    x = 197,342,069,824/207,380
  6. Step 6: Final answer
    x = 951,596.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.