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Finding the Third Proportional to 265,980 and 582,832

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Solution

The third proportional to 265,980 and 582,832 is: 1,277,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,980 : 582,832 = 582,832 : x
  2. Step 2: Convert to fraction form
    265,980/582,832 = 582,832/x
  3. Step 3: Cross multiply
    265,980x = 582,832 × 582,832
  4. Step 4: Simplify right side
    265,980x = 339,693,140,224
  5. Step 5: Solve for x
    x = 339,693,140,224/265,980
  6. Step 6: Final answer
    x = 1,277,137.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.