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Finding the Third Proportional to 220,642 and 476,268

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Solution

The third proportional to 220,642 and 476,268 is: 1,028,050.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,642 : 476,268 = 476,268 : x
  2. Step 2: Convert to fraction form
    220,642/476,268 = 476,268/x
  3. Step 3: Cross multiply
    220,642x = 476,268 × 476,268
  4. Step 4: Simplify right side
    220,642x = 226,831,207,824
  5. Step 5: Solve for x
    x = 226,831,207,824/220,642
  6. Step 6: Final answer
    x = 1,028,050.91

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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.