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Finding the Third Proportional to 233,391.38 and 475,343.44

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Solution

The third proportional to 233,391.38 and 475,343.44 is: 968,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,391.38 : 475,343.44 = 475,343.44 : x
  2. Step 2: Convert to fraction form
    233,391.38/475,343.44 = 475,343.44/x
  3. Step 3: Cross multiply
    233,391.38x = 475,343.44 × 475,343.44
  4. Step 4: Simplify right side
    233,391.38x = 225,951,383,574.32
  5. Step 5: Solve for x
    x = 225,951,383,574.32/233,391.38
  6. Step 6: Final answer
    x = 968,122.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.