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Finding the Third Proportional to 328,422 and 494,982

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Solution

The third proportional to 328,422 and 494,982 is: 746,013.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,422 : 494,982 = 494,982 : x
  2. Step 2: Convert to fraction form
    328,422/494,982 = 494,982/x
  3. Step 3: Cross multiply
    328,422x = 494,982 × 494,982
  4. Step 4: Simplify right side
    328,422x = 245,007,180,324
  5. Step 5: Solve for x
    x = 245,007,180,324/328,422
  6. Step 6: Final answer
    x = 746,013.30

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.