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Finding the Third Proportional to 445,614.75 and 962,251.31

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Solution

The third proportional to 445,614.75 and 962,251.31 is: 2,077,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,614.75 : 962,251.31 = 962,251.31 : x
  2. Step 2: Convert to fraction form
    445,614.75/962,251.31 = 962,251.31/x
  3. Step 3: Cross multiply
    445,614.75x = 962,251.31 × 962,251.31
  4. Step 4: Simplify right side
    445,614.75x = 925,927,588,407.97
  5. Step 5: Solve for x
    x = 925,927,588,407.97/445,614.75
  6. Step 6: Final answer
    x = 2,077,865.66

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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.