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Finding the Third Proportional to 532,081.41 and 764,907.05

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Solution

The third proportional to 532,081.41 and 764,907.05 is: 1,099,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,081.41 : 764,907.05 = 764,907.05 : x
  2. Step 2: Convert to fraction form
    532,081.41/764,907.05 = 764,907.05/x
  3. Step 3: Cross multiply
    532,081.41x = 764,907.05 × 764,907.05
  4. Step 4: Simplify right side
    532,081.41x = 585,082,790,359.03
  5. Step 5: Solve for x
    x = 585,082,790,359.03/532,081.41
  6. Step 6: Final answer
    x = 1,099,611.42

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.