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Finding the Third Proportional to 228,956 and 491,768

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Solution

The third proportional to 228,956 and 491,768 is: 1,056,254.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,956 : 491,768 = 491,768 : x
  2. Step 2: Convert to fraction form
    228,956/491,768 = 491,768/x
  3. Step 3: Cross multiply
    228,956x = 491,768 × 491,768
  4. Step 4: Simplify right side
    228,956x = 241,835,765,824
  5. Step 5: Solve for x
    x = 241,835,765,824/228,956
  6. Step 6: Final answer
    x = 1,056,254.33

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.