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Finding the Third Proportional to 281,736.56 and 626,455.69

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Solution

The third proportional to 281,736.56 and 626,455.69 is: 1,392,956.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,736.56 : 626,455.69 = 626,455.69 : x
  2. Step 2: Convert to fraction form
    281,736.56/626,455.69 = 626,455.69/x
  3. Step 3: Cross multiply
    281,736.56x = 626,455.69 × 626,455.69
  4. Step 4: Simplify right side
    281,736.56x = 392,446,728,401.10
  5. Step 5: Solve for x
    x = 392,446,728,401.10/281,736.56
  6. Step 6: Final answer
    x = 1,392,956.33

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.