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Finding the Third Proportional to 299,742 and 627,194

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Solution

The third proportional to 299,742 and 627,194 is: 1,312,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,742 : 627,194 = 627,194 : x
  2. Step 2: Convert to fraction form
    299,742/627,194 = 627,194/x
  3. Step 3: Cross multiply
    299,742x = 627,194 × 627,194
  4. Step 4: Simplify right side
    299,742x = 393,372,313,636
  5. Step 5: Solve for x
    x = 393,372,313,636/299,742
  6. Step 6: Final answer
    x = 1,312,369.68

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.