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Finding the Third Proportional to 352,856 and 764,034

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Solution

The third proportional to 352,856 and 764,034 is: 1,654,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,856 : 764,034 = 764,034 : x
  2. Step 2: Convert to fraction form
    352,856/764,034 = 764,034/x
  3. Step 3: Cross multiply
    352,856x = 764,034 × 764,034
  4. Step 4: Simplify right side
    352,856x = 583,747,953,156
  5. Step 5: Solve for x
    x = 583,747,953,156/352,856
  6. Step 6: Final answer
    x = 1,654,351.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.