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Finding the Third Proportional to 449,604.75 and 962,976

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Solution

The third proportional to 449,604.75 and 962,976 is: 2,062,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,604.75 : 962,976 = 962,976 : x
  2. Step 2: Convert to fraction form
    449,604.75/962,976 = 962,976/x
  3. Step 3: Cross multiply
    449,604.75x = 962,976 × 962,976
  4. Step 4: Simplify right side
    449,604.75x = 927,322,776,576
  5. Step 5: Solve for x
    x = 927,322,776,576/449,604.75
  6. Step 6: Final answer
    x = 2,062,528.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.