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Finding the Third Proportional to 239,174 and 503,134

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Solution

The third proportional to 239,174 and 503,134 is: 1,058,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,174 : 503,134 = 503,134 : x
  2. Step 2: Convert to fraction form
    239,174/503,134 = 503,134/x
  3. Step 3: Cross multiply
    239,174x = 503,134 × 503,134
  4. Step 4: Simplify right side
    239,174x = 253,143,821,956
  5. Step 5: Solve for x
    x = 253,143,821,956/239,174
  6. Step 6: Final answer
    x = 1,058,408.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.