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Finding the Third Proportional to 511,529.50 and 764,135.25

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Solution

The third proportional to 511,529.50 and 764,135.25 is: 1,141,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,529.50 : 764,135.25 = 764,135.25 : x
  2. Step 2: Convert to fraction form
    511,529.50/764,135.25 = 764,135.25/x
  3. Step 3: Cross multiply
    511,529.50x = 764,135.25 × 764,135.25
  4. Step 4: Simplify right side
    511,529.50x = 583,902,680,292.56
  5. Step 5: Solve for x
    x = 583,902,680,292.56/511,529.50
  6. Step 6: Final answer
    x = 1,141,483.88

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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.