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Finding the Third Proportional to 283,794 and 611,880

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Solution

The third proportional to 283,794 and 611,880 is: 1,319,256.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,794 : 611,880 = 611,880 : x
  2. Step 2: Convert to fraction form
    283,794/611,880 = 611,880/x
  3. Step 3: Cross multiply
    283,794x = 611,880 × 611,880
  4. Step 4: Simplify right side
    283,794x = 374,397,134,400
  5. Step 5: Solve for x
    x = 374,397,134,400/283,794
  6. Step 6: Final answer
    x = 1,319,256.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.