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Finding the Third Proportional to 268,720 and 585,824

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Solution

The third proportional to 268,720 and 585,824 is: 1,277,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,720 : 585,824 = 585,824 : x
  2. Step 2: Convert to fraction form
    268,720/585,824 = 585,824/x
  3. Step 3: Cross multiply
    268,720x = 585,824 × 585,824
  4. Step 4: Simplify right side
    268,720x = 343,189,758,976
  5. Step 5: Solve for x
    x = 343,189,758,976/268,720
  6. Step 6: Final answer
    x = 1,277,127.71

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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.