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Finding the Third Proportional to 227,522 and 350,774

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Solution

The third proportional to 227,522 and 350,774 is: 540,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,522 : 350,774 = 350,774 : x
  2. Step 2: Convert to fraction form
    227,522/350,774 = 350,774/x
  3. Step 3: Cross multiply
    227,522x = 350,774 × 350,774
  4. Step 4: Simplify right side
    227,522x = 123,042,399,076
  5. Step 5: Solve for x
    x = 123,042,399,076/227,522
  6. Step 6: Final answer
    x = 540,793.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.