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Finding the Third Proportional to 482,832 and 734,616

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Solution

The third proportional to 482,832 and 734,616 is: 1,117,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,832 : 734,616 = 734,616 : x
  2. Step 2: Convert to fraction form
    482,832/734,616 = 734,616/x
  3. Step 3: Cross multiply
    482,832x = 734,616 × 734,616
  4. Step 4: Simplify right side
    482,832x = 539,660,667,456
  5. Step 5: Solve for x
    x = 539,660,667,456/482,832
  6. Step 6: Final answer
    x = 1,117,698.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.