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Finding the Third Proportional to 445,578.06 and 962,178.31

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Solution

The third proportional to 445,578.06 and 962,178.31 is: 2,077,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,578.06 : 962,178.31 = 962,178.31 : x
  2. Step 2: Convert to fraction form
    445,578.06/962,178.31 = 962,178.31/x
  3. Step 3: Cross multiply
    445,578.06x = 962,178.31 × 962,178.31
  4. Step 4: Simplify right side
    445,578.06x = 925,787,105,045.35
  5. Step 5: Solve for x
    x = 925,787,105,045.35/445,578.06
  6. Step 6: Final answer
    x = 2,077,721.47

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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.