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Finding the Third Proportional to 381,174 and 501,237

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Solution

The third proportional to 381,174 and 501,237 is: 659,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,174 : 501,237 = 501,237 : x
  2. Step 2: Convert to fraction form
    381,174/501,237 = 501,237/x
  3. Step 3: Cross multiply
    381,174x = 501,237 × 501,237
  4. Step 4: Simplify right side
    381,174x = 251,238,530,169
  5. Step 5: Solve for x
    x = 251,238,530,169/381,174
  6. Step 6: Final answer
    x = 659,117.70

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.