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Finding the Third Proportional to 313,859.81 and 683,769.09

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Solution

The third proportional to 313,859.81 and 683,769.09 is: 1,489,646.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,859.81 : 683,769.09 = 683,769.09 : x
  2. Step 2: Convert to fraction form
    313,859.81/683,769.09 = 683,769.09/x
  3. Step 3: Cross multiply
    313,859.81x = 683,769.09 × 683,769.09
  4. Step 4: Simplify right side
    313,859.81x = 467,540,173,567.70
  5. Step 5: Solve for x
    x = 467,540,173,567.70/313,859.81
  6. Step 6: Final answer
    x = 1,489,646.51

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.