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Finding the Third Proportional to 285,174 and 398,696

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Solution

The third proportional to 285,174 and 398,696 is: 557,408.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,174 : 398,696 = 398,696 : x
  2. Step 2: Convert to fraction form
    285,174/398,696 = 398,696/x
  3. Step 3: Cross multiply
    285,174x = 398,696 × 398,696
  4. Step 4: Simplify right side
    285,174x = 158,958,500,416
  5. Step 5: Solve for x
    x = 158,958,500,416/285,174
  6. Step 6: Final answer
    x = 557,408.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.