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Finding the Third Proportional to 224,645 and 494,218

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Solution

The third proportional to 224,645 and 494,218 is: 1,087,277.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,645 : 494,218 = 494,218 : x
  2. Step 2: Convert to fraction form
    224,645/494,218 = 494,218/x
  3. Step 3: Cross multiply
    224,645x = 494,218 × 494,218
  4. Step 4: Simplify right side
    224,645x = 244,251,431,524
  5. Step 5: Solve for x
    x = 244,251,431,524/224,645
  6. Step 6: Final answer
    x = 1,087,277.40

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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.