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Finding the Third Proportional to 223,236 and 484,218

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Solution

The third proportional to 223,236 and 484,218 is: 1,050,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,236 : 484,218 = 484,218 : x
  2. Step 2: Convert to fraction form
    223,236/484,218 = 484,218/x
  3. Step 3: Cross multiply
    223,236x = 484,218 × 484,218
  4. Step 4: Simplify right side
    223,236x = 234,467,071,524
  5. Step 5: Solve for x
    x = 234,467,071,524/223,236
  6. Step 6: Final answer
    x = 1,050,310.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.