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Finding the Third Proportional to 265,374 and 582,867

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Solution

The third proportional to 265,374 and 582,867 is: 1,280,208.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,374 : 582,867 = 582,867 : x
  2. Step 2: Convert to fraction form
    265,374/582,867 = 582,867/x
  3. Step 3: Cross multiply
    265,374x = 582,867 × 582,867
  4. Step 4: Simplify right side
    265,374x = 339,733,939,689
  5. Step 5: Solve for x
    x = 339,733,939,689/265,374
  6. Step 6: Final answer
    x = 1,280,208.08

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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.