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Finding the Third Proportional to 265,349 and 582,828

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Solution

The third proportional to 265,349 and 582,828 is: 1,280,157.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,349 : 582,828 = 582,828 : x
  2. Step 2: Convert to fraction form
    265,349/582,828 = 582,828/x
  3. Step 3: Cross multiply
    265,349x = 582,828 × 582,828
  4. Step 4: Simplify right side
    265,349x = 339,688,477,584
  5. Step 5: Solve for x
    x = 339,688,477,584/265,349
  6. Step 6: Final answer
    x = 1,280,157.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.