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Finding the Third Proportional to 300,075.75 and 449,052.75

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Solution

The third proportional to 300,075.75 and 449,052.75 is: 671,991.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,075.75 : 449,052.75 = 449,052.75 : x
  2. Step 2: Convert to fraction form
    300,075.75/449,052.75 = 449,052.75/x
  3. Step 3: Cross multiply
    300,075.75x = 449,052.75 × 449,052.75
  4. Step 4: Simplify right side
    300,075.75x = 201,648,372,282.56
  5. Step 5: Solve for x
    x = 201,648,372,282.56/300,075.75
  6. Step 6: Final answer
    x = 671,991.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.