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Finding the Third Proportional to 233,568 and 505,874

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Solution

The third proportional to 233,568 and 505,874 is: 1,095,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,568 : 505,874 = 505,874 : x
  2. Step 2: Convert to fraction form
    233,568/505,874 = 505,874/x
  3. Step 3: Cross multiply
    233,568x = 505,874 × 505,874
  4. Step 4: Simplify right side
    233,568x = 255,908,503,876
  5. Step 5: Solve for x
    x = 255,908,503,876/233,568
  6. Step 6: Final answer
    x = 1,095,648.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.