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Finding the Third Proportional to 233,115.75 and 509,568.75

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Solution

The third proportional to 233,115.75 and 509,568.75 is: 1,113,868.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,115.75 : 509,568.75 = 509,568.75 : x
  2. Step 2: Convert to fraction form
    233,115.75/509,568.75 = 509,568.75/x
  3. Step 3: Cross multiply
    233,115.75x = 509,568.75 × 509,568.75
  4. Step 4: Simplify right side
    233,115.75x = 259,660,310,976.56
  5. Step 5: Solve for x
    x = 259,660,310,976.56/233,115.75
  6. Step 6: Final answer
    x = 1,113,868.59

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.