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Finding the Third Proportional to 326,052 and 687,474

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Solution

The third proportional to 326,052 and 687,474 is: 1,449,524.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,052 : 687,474 = 687,474 : x
  2. Step 2: Convert to fraction form
    326,052/687,474 = 687,474/x
  3. Step 3: Cross multiply
    326,052x = 687,474 × 687,474
  4. Step 4: Simplify right side
    326,052x = 472,620,500,676
  5. Step 5: Solve for x
    x = 472,620,500,676/326,052
  6. Step 6: Final answer
    x = 1,449,524.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.