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Finding the Third Proportional to 355,019 and 764,167

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Solution

The third proportional to 355,019 and 764,167 is: 1,644,844.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,019 : 764,167 = 764,167 : x
  2. Step 2: Convert to fraction form
    355,019/764,167 = 764,167/x
  3. Step 3: Cross multiply
    355,019x = 764,167 × 764,167
  4. Step 4: Simplify right side
    355,019x = 583,951,203,889
  5. Step 5: Solve for x
    x = 583,951,203,889/355,019
  6. Step 6: Final answer
    x = 1,644,844.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.