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Finding the Third Proportional to 326,714 and 667,252

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Solution

The third proportional to 326,714 and 667,252 is: 1,362,736.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,714 : 667,252 = 667,252 : x
  2. Step 2: Convert to fraction form
    326,714/667,252 = 667,252/x
  3. Step 3: Cross multiply
    326,714x = 667,252 × 667,252
  4. Step 4: Simplify right side
    326,714x = 445,225,231,504
  5. Step 5: Solve for x
    x = 445,225,231,504/326,714
  6. Step 6: Final answer
    x = 1,362,736.92

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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.