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Finding the Third Proportional to 303,075 and 441,285

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Solution

The third proportional to 303,075 and 441,285 is: 642,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,075 : 441,285 = 441,285 : x
  2. Step 2: Convert to fraction form
    303,075/441,285 = 441,285/x
  3. Step 3: Cross multiply
    303,075x = 441,285 × 441,285
  4. Step 4: Simplify right side
    303,075x = 194,732,451,225
  5. Step 5: Solve for x
    x = 194,732,451,225/303,075
  6. Step 6: Final answer
    x = 642,522.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.