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Finding the Third Proportional to 301,569 and 627,645

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Solution

The third proportional to 301,569 and 627,645 is: 1,306,295.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,569 : 627,645 = 627,645 : x
  2. Step 2: Convert to fraction form
    301,569/627,645 = 627,645/x
  3. Step 3: Cross multiply
    301,569x = 627,645 × 627,645
  4. Step 4: Simplify right side
    301,569x = 393,938,246,025
  5. Step 5: Solve for x
    x = 393,938,246,025/301,569
  6. Step 6: Final answer
    x = 1,306,295.56

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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.