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Finding the Third Proportional to 283,226 and 617,980

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Solution

The third proportional to 283,226 and 617,980 is: 1,348,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,226 : 617,980 = 617,980 : x
  2. Step 2: Convert to fraction form
    283,226/617,980 = 617,980/x
  3. Step 3: Cross multiply
    283,226x = 617,980 × 617,980
  4. Step 4: Simplify right side
    283,226x = 381,899,280,400
  5. Step 5: Solve for x
    x = 381,899,280,400/283,226
  6. Step 6: Final answer
    x = 1,348,390.62

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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.