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Finding the Third Proportional to 443,908.69 and 962,514.56

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Solution

The third proportional to 443,908.69 and 962,514.56 is: 2,086,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,908.69 : 962,514.56 = 962,514.56 : x
  2. Step 2: Convert to fraction form
    443,908.69/962,514.56 = 962,514.56/x
  3. Step 3: Cross multiply
    443,908.69x = 962,514.56 × 962,514.56
  4. Step 4: Simplify right side
    443,908.69x = 926,434,283,024.57
  5. Step 5: Solve for x
    x = 926,434,283,024.57/443,908.69
  6. Step 6: Final answer
    x = 2,086,992.91

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.