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Finding the Third Proportional to 391,174 and 587,625

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Solution

The third proportional to 391,174 and 587,625 is: 882,735.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,174 : 587,625 = 587,625 : x
  2. Step 2: Convert to fraction form
    391,174/587,625 = 587,625/x
  3. Step 3: Cross multiply
    391,174x = 587,625 × 587,625
  4. Step 4: Simplify right side
    391,174x = 345,303,140,625
  5. Step 5: Solve for x
    x = 345,303,140,625/391,174
  6. Step 6: Final answer
    x = 882,735.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.