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Finding the Third Proportional to 271,923 and 598,218

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Solution

The third proportional to 271,923 and 598,218 is: 1,316,051.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,923 : 598,218 = 598,218 : x
  2. Step 2: Convert to fraction form
    271,923/598,218 = 598,218/x
  3. Step 3: Cross multiply
    271,923x = 598,218 × 598,218
  4. Step 4: Simplify right side
    271,923x = 357,864,775,524
  5. Step 5: Solve for x
    x = 357,864,775,524/271,923
  6. Step 6: Final answer
    x = 1,316,051.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.