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Finding the Third Proportional to 433 and 962

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Solution

The third proportional to 433 and 962 is: 2,137.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    433 : 962 = 962 : x
  2. Step 2: Convert to fraction form
    433/962 = 962/x
  3. Step 3: Cross multiply
    433x = 962 × 962
  4. Step 4: Simplify right side
    433x = 925,444
  5. Step 5: Solve for x
    x = 925,444/433
  6. Step 6: Final answer
    x = 2,137.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.