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Finding the Third Proportional to 352,852 and 764,026

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Solution

The third proportional to 352,852 and 764,026 is: 1,654,335.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,852 : 764,026 = 764,026 : x
  2. Step 2: Convert to fraction form
    352,852/764,026 = 764,026/x
  3. Step 3: Cross multiply
    352,852x = 764,026 × 764,026
  4. Step 4: Simplify right side
    352,852x = 583,735,728,676
  5. Step 5: Solve for x
    x = 583,735,728,676/352,852
  6. Step 6: Final answer
    x = 1,654,335.89

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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.