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Finding the Third Proportional to 322,296.26 and 683,011.62

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Solution

The third proportional to 322,296.26 and 683,011.62 is: 1,447,441.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,296.26 : 683,011.62 = 683,011.62 : x
  2. Step 2: Convert to fraction form
    322,296.26/683,011.62 = 683,011.62/x
  3. Step 3: Cross multiply
    322,296.26x = 683,011.62 × 683,011.62
  4. Step 4: Simplify right side
    322,296.26x = 466,504,869,213.08
  5. Step 5: Solve for x
    x = 466,504,869,213.08/322,296.26
  6. Step 6: Final answer
    x = 1,447,441.16

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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.