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Finding the Third Proportional to 328,576 and 494,322

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Solution

The third proportional to 328,576 and 494,322 is: 743,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,576 : 494,322 = 494,322 : x
  2. Step 2: Convert to fraction form
    328,576/494,322 = 494,322/x
  3. Step 3: Cross multiply
    328,576x = 494,322 × 494,322
  4. Step 4: Simplify right side
    328,576x = 244,354,239,684
  5. Step 5: Solve for x
    x = 244,354,239,684/328,576
  6. Step 6: Final answer
    x = 743,676.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.