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Finding the Third Proportional to 263,517 and 585,981

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Solution

The third proportional to 263,517 and 585,981 is: 1,303,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,517 : 585,981 = 585,981 : x
  2. Step 2: Convert to fraction form
    263,517/585,981 = 585,981/x
  3. Step 3: Cross multiply
    263,517x = 585,981 × 585,981
  4. Step 4: Simplify right side
    263,517x = 343,373,732,361
  5. Step 5: Solve for x
    x = 343,373,732,361/263,517
  6. Step 6: Final answer
    x = 1,303,042.05

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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.