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Finding the Third Proportional to 359,886 and 764,049

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Solution

The third proportional to 359,886 and 764,049 is: 1,622,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,886 : 764,049 = 764,049 : x
  2. Step 2: Convert to fraction form
    359,886/764,049 = 764,049/x
  3. Step 3: Cross multiply
    359,886x = 764,049 × 764,049
  4. Step 4: Simplify right side
    359,886x = 583,770,874,401
  5. Step 5: Solve for x
    x = 583,770,874,401/359,886
  6. Step 6: Final answer
    x = 1,622,099.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.