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Finding the Third Proportional to 227,129 and 494,029

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Solution

The third proportional to 227,129 and 494,029 is: 1,074,564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,129 : 494,029 = 494,029 : x
  2. Step 2: Convert to fraction form
    227,129/494,029 = 494,029/x
  3. Step 3: Cross multiply
    227,129x = 494,029 × 494,029
  4. Step 4: Simplify right side
    227,129x = 244,064,652,841
  5. Step 5: Solve for x
    x = 244,064,652,841/227,129
  6. Step 6: Final answer
    x = 1,074,564.03

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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.