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Finding the Third Proportional to 352,844 and 764,980

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Solution

The third proportional to 352,844 and 764,980 is: 1,658,507.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,844 : 764,980 = 764,980 : x
  2. Step 2: Convert to fraction form
    352,844/764,980 = 764,980/x
  3. Step 3: Cross multiply
    352,844x = 764,980 × 764,980
  4. Step 4: Simplify right side
    352,844x = 585,194,400,400
  5. Step 5: Solve for x
    x = 585,194,400,400/352,844
  6. Step 6: Final answer
    x = 1,658,507.44

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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.