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Finding the Third Proportional to 509,657.06 and 764,442.56

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Solution

The third proportional to 509,657.06 and 764,442.56 is: 1,146,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,657.06 : 764,442.56 = 764,442.56 : x
  2. Step 2: Convert to fraction form
    509,657.06/764,442.56 = 764,442.56/x
  3. Step 3: Cross multiply
    509,657.06x = 764,442.56 × 764,442.56
  4. Step 4: Simplify right side
    509,657.06x = 584,372,431,361.57
  5. Step 5: Solve for x
    x = 584,372,431,361.57/509,657.06
  6. Step 6: Final answer
    x = 1,146,599.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.