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Finding the Third Proportional to 396.50 and 507.50

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Solution

The third proportional to 396.50 and 507.50 is: 649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    396.50 : 507.50 = 507.50 : x
  2. Step 2: Convert to fraction form
    396.50/507.50 = 507.50/x
  3. Step 3: Cross multiply
    396.50x = 507.50 × 507.50
  4. Step 4: Simplify right side
    396.50x = 257,556.25
  5. Step 5: Solve for x
    x = 257,556.25/396.50
  6. Step 6: Final answer
    x = 649.57

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.