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Finding the Third Proportional to 218,369 and 477,218

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Solution

The third proportional to 218,369 and 477,218 is: 1,042,899.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,369 : 477,218 = 477,218 : x
  2. Step 2: Convert to fraction form
    218,369/477,218 = 477,218/x
  3. Step 3: Cross multiply
    218,369x = 477,218 × 477,218
  4. Step 4: Simplify right side
    218,369x = 227,737,019,524
  5. Step 5: Solve for x
    x = 227,737,019,524/218,369
  6. Step 6: Final answer
    x = 1,042,899.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.