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Finding the Third Proportional to 355,017 and 764,163

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Solution

The third proportional to 355,017 and 764,163 is: 1,644,836.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,017 : 764,163 = 764,163 : x
  2. Step 2: Convert to fraction form
    355,017/764,163 = 764,163/x
  3. Step 3: Cross multiply
    355,017x = 764,163 × 764,163
  4. Step 4: Simplify right side
    355,017x = 583,945,090,569
  5. Step 5: Solve for x
    x = 583,945,090,569/355,017
  6. Step 6: Final answer
    x = 1,644,836.98

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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.