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Finding the Third Proportional to 511,533.25 and 764,140.75

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Solution

The third proportional to 511,533.25 and 764,140.75 is: 1,141,491.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,533.25 : 764,140.75 = 764,140.75 : x
  2. Step 2: Convert to fraction form
    511,533.25/764,140.75 = 764,140.75/x
  3. Step 3: Cross multiply
    511,533.25x = 764,140.75 × 764,140.75
  4. Step 4: Simplify right side
    511,533.25x = 583,911,085,810.56
  5. Step 5: Solve for x
    x = 583,911,085,810.56/511,533.25
  6. Step 6: Final answer
    x = 1,141,491.95

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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.