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Finding the Third Proportional to 197,075 and 446,760

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Solution

The third proportional to 197,075 and 446,760 is: 1,012,784.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,075 : 446,760 = 446,760 : x
  2. Step 2: Convert to fraction form
    197,075/446,760 = 446,760/x
  3. Step 3: Cross multiply
    197,075x = 446,760 × 446,760
  4. Step 4: Simplify right side
    197,075x = 199,594,497,600
  5. Step 5: Solve for x
    x = 199,594,497,600/197,075
  6. Step 6: Final answer
    x = 1,012,784.46

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.