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Finding the Third Proportional to 313,600 and 683,144

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Solution

The third proportional to 313,600 and 683,144 is: 1,488,156.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,600 : 683,144 = 683,144 : x
  2. Step 2: Convert to fraction form
    313,600/683,144 = 683,144/x
  3. Step 3: Cross multiply
    313,600x = 683,144 × 683,144
  4. Step 4: Simplify right side
    313,600x = 466,685,724,736
  5. Step 5: Solve for x
    x = 466,685,724,736/313,600
  6. Step 6: Final answer
    x = 1,488,156.01

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Why These Related Problems?

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