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Finding the Third Proportional to 227,227 and 492,063

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Solution

The third proportional to 227,227 and 492,063 is: 1,065,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,227 : 492,063 = 492,063 : x
  2. Step 2: Convert to fraction form
    227,227/492,063 = 492,063/x
  3. Step 3: Cross multiply
    227,227x = 492,063 × 492,063
  4. Step 4: Simplify right side
    227,227x = 242,125,995,969
  5. Step 5: Solve for x
    x = 242,125,995,969/227,227
  6. Step 6: Final answer
    x = 1,065,568.77

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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.