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Finding the Third Proportional to 322,293.94 and 683,007.75

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Solution

The third proportional to 322,293.94 and 683,007.75 is: 1,447,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,293.94 : 683,007.75 = 683,007.75 : x
  2. Step 2: Convert to fraction form
    322,293.94/683,007.75 = 683,007.75/x
  3. Step 3: Cross multiply
    322,293.94x = 683,007.75 × 683,007.75
  4. Step 4: Simplify right side
    322,293.94x = 466,499,586,560.06
  5. Step 5: Solve for x
    x = 466,499,586,560.06/322,293.94
  6. Step 6: Final answer
    x = 1,447,435.19

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.