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Finding the Third Proportional to 433.27 and 939.09

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Solution

The third proportional to 433.27 and 939.09 is: 2,035.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.27 : 939.09 = 939.09 : x
  2. Step 2: Convert to fraction form
    433.27/939.09 = 939.09/x
  3. Step 3: Cross multiply
    433.27x = 939.09 × 939.09
  4. Step 4: Simplify right side
    433.27x = 881,897.07
  5. Step 5: Solve for x
    x = 881,897.07/433.27
  6. Step 6: Final answer
    x = 2,035.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.