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Finding the Third Proportional to 737,328 and 1,505,760

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Solution

The third proportional to 737,328 and 1,505,760 is: 3,075,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,328 : 1,505,760 = 1,505,760 : x
  2. Step 2: Convert to fraction form
    737,328/1,505,760 = 1,505,760/x
  3. Step 3: Cross multiply
    737,328x = 1,505,760 × 1,505,760
  4. Step 4: Simplify right side
    737,328x = 2,267,313,177,600
  5. Step 5: Solve for x
    x = 2,267,313,177,600/737,328
  6. Step 6: Final answer
    x = 3,075,040.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.