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Finding the Third Proportional to 263,492 and 585,936

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Solution

The third proportional to 263,492 and 585,936 is: 1,302,965.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,492 : 585,936 = 585,936 : x
  2. Step 2: Convert to fraction form
    263,492/585,936 = 585,936/x
  3. Step 3: Cross multiply
    263,492x = 585,936 × 585,936
  4. Step 4: Simplify right side
    263,492x = 343,320,996,096
  5. Step 5: Solve for x
    x = 343,320,996,096/263,492
  6. Step 6: Final answer
    x = 1,302,965.54

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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.