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Finding the Third Proportional to 227,150 and 494,071

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Solution

The third proportional to 227,150 and 494,071 is: 1,074,647.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,150 : 494,071 = 494,071 : x
  2. Step 2: Convert to fraction form
    227,150/494,071 = 494,071/x
  3. Step 3: Cross multiply
    227,150x = 494,071 × 494,071
  4. Step 4: Simplify right side
    227,150x = 244,106,153,041
  5. Step 5: Solve for x
    x = 244,106,153,041/227,150
  6. Step 6: Final answer
    x = 1,074,647.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.