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Finding the Third Proportional to 375.25 and 528.25

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Solution

The third proportional to 375.25 and 528.25 is: 743.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.25 : 528.25 = 528.25 : x
  2. Step 2: Convert to fraction form
    375.25/528.25 = 528.25/x
  3. Step 3: Cross multiply
    375.25x = 528.25 × 528.25
  4. Step 4: Simplify right side
    375.25x = 279,048.06
  5. Step 5: Solve for x
    x = 279,048.06/375.25
  6. Step 6: Final answer
    x = 743.63

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.