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Finding the Third Proportional to 301,198 and 627,348

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Solution

The third proportional to 301,198 and 627,348 is: 1,306,667.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,198 : 627,348 = 627,348 : x
  2. Step 2: Convert to fraction form
    301,198/627,348 = 627,348/x
  3. Step 3: Cross multiply
    301,198x = 627,348 × 627,348
  4. Step 4: Simplify right side
    301,198x = 393,565,513,104
  5. Step 5: Solve for x
    x = 393,565,513,104/301,198
  6. Step 6: Final answer
    x = 1,306,667.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.