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Finding the Third Proportional to 227,092 and 492,822

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Solution

The third proportional to 227,092 and 492,822 is: 1,069,493.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,092 : 492,822 = 492,822 : x
  2. Step 2: Convert to fraction form
    227,092/492,822 = 492,822/x
  3. Step 3: Cross multiply
    227,092x = 492,822 × 492,822
  4. Step 4: Simplify right side
    227,092x = 242,873,523,684
  5. Step 5: Solve for x
    x = 242,873,523,684/227,092
  6. Step 6: Final answer
    x = 1,069,493.97

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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.