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Finding the Third Proportional to 207,272 and 446,256

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Solution

The third proportional to 207,272 and 446,256 is: 960,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,272 : 446,256 = 446,256 : x
  2. Step 2: Convert to fraction form
    207,272/446,256 = 446,256/x
  3. Step 3: Cross multiply
    207,272x = 446,256 × 446,256
  4. Step 4: Simplify right side
    207,272x = 199,144,417,536
  5. Step 5: Solve for x
    x = 199,144,417,536/207,272
  6. Step 6: Final answer
    x = 960,787.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.