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Finding the Third Proportional to 301,212 and 627,372

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Solution

The third proportional to 301,212 and 627,372 is: 1,306,706.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,212 : 627,372 = 627,372 : x
  2. Step 2: Convert to fraction form
    301,212/627,372 = 627,372/x
  3. Step 3: Cross multiply
    301,212x = 627,372 × 627,372
  4. Step 4: Simplify right side
    301,212x = 393,595,626,384
  5. Step 5: Solve for x
    x = 393,595,626,384/301,212
  6. Step 6: Final answer
    x = 1,306,706.33

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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.