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Finding the Third Proportional to 263,504 and 585,965

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Solution

The third proportional to 263,504 and 585,965 is: 1,303,035.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,504 : 585,965 = 585,965 : x
  2. Step 2: Convert to fraction form
    263,504/585,965 = 585,965/x
  3. Step 3: Cross multiply
    263,504x = 585,965 × 585,965
  4. Step 4: Simplify right side
    263,504x = 343,354,981,225
  5. Step 5: Solve for x
    x = 343,354,981,225/263,504
  6. Step 6: Final answer
    x = 1,303,035.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.