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Finding the Third Proportional to 316,311.75 and 683,136.75

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Solution

The third proportional to 316,311.75 and 683,136.75 is: 1,475,366.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,311.75 : 683,136.75 = 683,136.75 : x
  2. Step 2: Convert to fraction form
    316,311.75/683,136.75 = 683,136.75/x
  3. Step 3: Cross multiply
    316,311.75x = 683,136.75 × 683,136.75
  4. Step 4: Simplify right side
    316,311.75x = 466,675,819,200.56
  5. Step 5: Solve for x
    x = 466,675,819,200.56/316,311.75
  6. Step 6: Final answer
    x = 1,475,366.69

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.