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Finding the Third Proportional to 254,954 and 560,236

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Solution

The third proportional to 254,954 and 560,236 is: 1,231,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,954 : 560,236 = 560,236 : x
  2. Step 2: Convert to fraction form
    254,954/560,236 = 560,236/x
  3. Step 3: Cross multiply
    254,954x = 560,236 × 560,236
  4. Step 4: Simplify right side
    254,954x = 313,864,375,696
  5. Step 5: Solve for x
    x = 313,864,375,696/254,954
  6. Step 6: Final answer
    x = 1,231,062.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.