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Finding the Third Proportional to 283,740 and 617,880

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Solution

The third proportional to 283,740 and 617,880 is: 1,345,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,740 : 617,880 = 617,880 : x
  2. Step 2: Convert to fraction form
    283,740/617,880 = 617,880/x
  3. Step 3: Cross multiply
    283,740x = 617,880 × 617,880
  4. Step 4: Simplify right side
    283,740x = 381,775,694,400
  5. Step 5: Solve for x
    x = 381,775,694,400/283,740
  6. Step 6: Final answer
    x = 1,345,512.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.