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Finding the Third Proportional to 254,218 and 550,268

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Solution

The third proportional to 254,218 and 550,268 is: 1,191,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,218 : 550,268 = 550,268 : x
  2. Step 2: Convert to fraction form
    254,218/550,268 = 550,268/x
  3. Step 3: Cross multiply
    254,218x = 550,268 × 550,268
  4. Step 4: Simplify right side
    254,218x = 302,794,871,824
  5. Step 5: Solve for x
    x = 302,794,871,824/254,218
  6. Step 6: Final answer
    x = 1,191,083.53

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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.