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Finding the Third Proportional to 283,228 and 617,984

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Solution

The third proportional to 283,228 and 617,984 is: 1,348,398.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,228 : 617,984 = 617,984 : x
  2. Step 2: Convert to fraction form
    283,228/617,984 = 617,984/x
  3. Step 3: Cross multiply
    283,228x = 617,984 × 617,984
  4. Step 4: Simplify right side
    283,228x = 381,904,224,256
  5. Step 5: Solve for x
    x = 381,904,224,256/283,228
  6. Step 6: Final answer
    x = 1,348,398.55

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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.