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Finding the Third Proportional to 353,997 and 764,532

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Solution

The third proportional to 353,997 and 764,532 is: 1,651,169.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,997 : 764,532 = 764,532 : x
  2. Step 2: Convert to fraction form
    353,997/764,532 = 764,532/x
  3. Step 3: Cross multiply
    353,997x = 764,532 × 764,532
  4. Step 4: Simplify right side
    353,997x = 584,509,179,024
  5. Step 5: Solve for x
    x = 584,509,179,024/353,997
  6. Step 6: Final answer
    x = 1,651,169.87

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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.