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Finding the Third Proportional to 301,227 and 627,402

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Solution

The third proportional to 301,227 and 627,402 is: 1,306,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,227 : 627,402 = 627,402 : x
  2. Step 2: Convert to fraction form
    301,227/627,402 = 627,402/x
  3. Step 3: Cross multiply
    301,227x = 627,402 × 627,402
  4. Step 4: Simplify right side
    301,227x = 393,633,269,604
  5. Step 5: Solve for x
    x = 393,633,269,604/301,227
  6. Step 6: Final answer
    x = 1,306,766.22

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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.