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Finding the Third Proportional to 353,936 and 764,176

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Solution

The third proportional to 353,936 and 764,176 is: 1,649,916.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,936 : 764,176 = 764,176 : x
  2. Step 2: Convert to fraction form
    353,936/764,176 = 764,176/x
  3. Step 3: Cross multiply
    353,936x = 764,176 × 764,176
  4. Step 4: Simplify right side
    353,936x = 583,964,958,976
  5. Step 5: Solve for x
    x = 583,964,958,976/353,936
  6. Step 6: Final answer
    x = 1,649,916.82

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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.