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Finding the Third Proportional to 295,519 and 627,947

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Solution

The third proportional to 295,519 and 627,947 is: 1,334,321.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,519 : 627,947 = 627,947 : x
  2. Step 2: Convert to fraction form
    295,519/627,947 = 627,947/x
  3. Step 3: Cross multiply
    295,519x = 627,947 × 627,947
  4. Step 4: Simplify right side
    295,519x = 394,317,434,809
  5. Step 5: Solve for x
    x = 394,317,434,809/295,519
  6. Step 6: Final answer
    x = 1,334,321.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.