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Finding the Third Proportional to 511,533.75 and 764,141.50

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Solution

The third proportional to 511,533.75 and 764,141.50 is: 1,141,493.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,533.75 : 764,141.50 = 764,141.50 : x
  2. Step 2: Convert to fraction form
    511,533.75/764,141.50 = 764,141.50/x
  3. Step 3: Cross multiply
    511,533.75x = 764,141.50 × 764,141.50
  4. Step 4: Simplify right side
    511,533.75x = 583,912,232,022.25
  5. Step 5: Solve for x
    x = 583,912,232,022.25/511,533.75
  6. Step 6: Final answer
    x = 1,141,493.07

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Why These Related Problems?

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