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Finding the Third Proportional to 268,961 and 585,232

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Solution

The third proportional to 268,961 and 585,232 is: 1,273,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,961 : 585,232 = 585,232 : x
  2. Step 2: Convert to fraction form
    268,961/585,232 = 585,232/x
  3. Step 3: Cross multiply
    268,961x = 585,232 × 585,232
  4. Step 4: Simplify right side
    268,961x = 342,496,493,824
  5. Step 5: Solve for x
    x = 342,496,493,824/268,961
  6. Step 6: Final answer
    x = 1,273,405.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.