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Finding the Third Proportional to 511,528.50 and 764,133.75

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Solution

The third proportional to 511,528.50 and 764,133.75 is: 1,141,481.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,528.50 : 764,133.75 = 764,133.75 : x
  2. Step 2: Convert to fraction form
    511,528.50/764,133.75 = 764,133.75/x
  3. Step 3: Cross multiply
    511,528.50x = 764,133.75 × 764,133.75
  4. Step 4: Simplify right side
    511,528.50x = 583,900,387,889.06
  5. Step 5: Solve for x
    x = 583,900,387,889.06/511,528.50
  6. Step 6: Final answer
    x = 1,141,481.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.