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Finding the Third Proportional to 258,019 and 582,932

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Solution

The third proportional to 258,019 and 582,932 is: 1,316,994.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,019 : 582,932 = 582,932 : x
  2. Step 2: Convert to fraction form
    258,019/582,932 = 582,932/x
  3. Step 3: Cross multiply
    258,019x = 582,932 × 582,932
  4. Step 4: Simplify right side
    258,019x = 339,809,716,624
  5. Step 5: Solve for x
    x = 339,809,716,624/258,019
  6. Step 6: Final answer
    x = 1,316,994.94

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.