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Finding the Third Proportional to 301,194 and 627,339

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Solution

The third proportional to 301,194 and 627,339 is: 1,306,646.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,194 : 627,339 = 627,339 : x
  2. Step 2: Convert to fraction form
    301,194/627,339 = 627,339/x
  3. Step 3: Cross multiply
    301,194x = 627,339 × 627,339
  4. Step 4: Simplify right side
    301,194x = 393,554,220,921
  5. Step 5: Solve for x
    x = 393,554,220,921/301,194
  6. Step 6: Final answer
    x = 1,306,646.95

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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.