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Finding the Third Proportional to 445,618.50 and 962,261.75

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Solution

The third proportional to 445,618.50 and 962,261.75 is: 2,077,893.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,618.50 : 962,261.75 = 962,261.75 : x
  2. Step 2: Convert to fraction form
    445,618.50/962,261.75 = 962,261.75/x
  3. Step 3: Cross multiply
    445,618.50x = 962,261.75 × 962,261.75
  4. Step 4: Simplify right side
    445,618.50x = 925,947,675,513.06
  5. Step 5: Solve for x
    x = 925,947,675,513.06/445,618.50
  6. Step 6: Final answer
    x = 2,077,893.26

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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.