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Finding the Third Proportional to 353,950 and 764,249

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Solution

The third proportional to 353,950 and 764,249 is: 1,650,166.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,950 : 764,249 = 764,249 : x
  2. Step 2: Convert to fraction form
    353,950/764,249 = 764,249/x
  3. Step 3: Cross multiply
    353,950x = 764,249 × 764,249
  4. Step 4: Simplify right side
    353,950x = 584,076,534,001
  5. Step 5: Solve for x
    x = 584,076,534,001/353,950
  6. Step 6: Final answer
    x = 1,650,166.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.