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Finding the Third Proportional to 370,096.50 and 796,326

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Solution

The third proportional to 370,096.50 and 796,326 is: 1,713,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,096.50 : 796,326 = 796,326 : x
  2. Step 2: Convert to fraction form
    370,096.50/796,326 = 796,326/x
  3. Step 3: Cross multiply
    370,096.50x = 796,326 × 796,326
  4. Step 4: Simplify right side
    370,096.50x = 634,135,098,276
  5. Step 5: Solve for x
    x = 634,135,098,276/370,096.50
  6. Step 6: Final answer
    x = 1,713,431.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.