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Finding the Third Proportional to 235,960.50 and 511,287.75

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Solution

The third proportional to 235,960.50 and 511,287.75 is: 1,107,876.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,960.50 : 511,287.75 = 511,287.75 : x
  2. Step 2: Convert to fraction form
    235,960.50/511,287.75 = 511,287.75/x
  3. Step 3: Cross multiply
    235,960.50x = 511,287.75 × 511,287.75
  4. Step 4: Simplify right side
    235,960.50x = 261,415,163,300.06
  5. Step 5: Solve for x
    x = 261,415,163,300.06/235,960.50
  6. Step 6: Final answer
    x = 1,107,876.80

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