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Finding the Third Proportional to 437.50 and 475

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Solution

The third proportional to 437.50 and 475 is: 515.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.50 : 475 = 475 : x
  2. Step 2: Convert to fraction form
    437.50/475 = 475/x
  3. Step 3: Cross multiply
    437.50x = 475 × 475
  4. Step 4: Simplify right side
    437.50x = 225,625
  5. Step 5: Solve for x
    x = 225,625/437.50
  6. Step 6: Final answer
    x = 515.71

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.