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Finding the Third Proportional to 233,382.94 and 475,324.88

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Solution

The third proportional to 233,382.94 and 475,324.88 is: 968,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,382.94 : 475,324.88 = 475,324.88 : x
  2. Step 2: Convert to fraction form
    233,382.94/475,324.88 = 475,324.88/x
  3. Step 3: Cross multiply
    233,382.94x = 475,324.88 × 475,324.88
  4. Step 4: Simplify right side
    233,382.94x = 225,933,736,793.77
  5. Step 5: Solve for x
    x = 225,933,736,793.77/233,382.94
  6. Step 6: Final answer
    x = 968,081.64

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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.