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Finding the Third Proportional to 311,943 and 638,667

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Solution

The third proportional to 311,943 and 638,667 is: 1,307,596.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,943 : 638,667 = 638,667 : x
  2. Step 2: Convert to fraction form
    311,943/638,667 = 638,667/x
  3. Step 3: Cross multiply
    311,943x = 638,667 × 638,667
  4. Step 4: Simplify right side
    311,943x = 407,895,536,889
  5. Step 5: Solve for x
    x = 407,895,536,889/311,943
  6. Step 6: Final answer
    x = 1,307,596.38

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.