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Finding the Third Proportional to 277,992 and 599,216

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Solution

The third proportional to 277,992 and 599,216 is: 1,291,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,992 : 599,216 = 599,216 : x
  2. Step 2: Convert to fraction form
    277,992/599,216 = 599,216/x
  3. Step 3: Cross multiply
    277,992x = 599,216 × 599,216
  4. Step 4: Simplify right side
    277,992x = 359,059,814,656
  5. Step 5: Solve for x
    x = 359,059,814,656/277,992
  6. Step 6: Final answer
    x = 1,291,619.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.