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Finding the Third Proportional to 283,195 and 615,694

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Solution

The third proportional to 283,195 and 615,694 is: 1,338,579.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,195 : 615,694 = 615,694 : x
  2. Step 2: Convert to fraction form
    283,195/615,694 = 615,694/x
  3. Step 3: Cross multiply
    283,195x = 615,694 × 615,694
  4. Step 4: Simplify right side
    283,195x = 379,079,101,636
  5. Step 5: Solve for x
    x = 379,079,101,636/283,195
  6. Step 6: Final answer
    x = 1,338,579.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.