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Finding the Third Proportional to 352,850 and 764,022

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Solution

The third proportional to 352,850 and 764,022 is: 1,654,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,850 : 764,022 = 764,022 : x
  2. Step 2: Convert to fraction form
    352,850/764,022 = 764,022/x
  3. Step 3: Cross multiply
    352,850x = 764,022 × 764,022
  4. Step 4: Simplify right side
    352,850x = 583,729,616,484
  5. Step 5: Solve for x
    x = 583,729,616,484/352,850
  6. Step 6: Final answer
    x = 1,654,327.95

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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.