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Finding the Third Proportional to 533,832 and 1,160,832

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Solution

The third proportional to 533,832 and 1,160,832 is: 2,524,260.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,832 : 1,160,832 = 1,160,832 : x
  2. Step 2: Convert to fraction form
    533,832/1,160,832 = 1,160,832/x
  3. Step 3: Cross multiply
    533,832x = 1,160,832 × 1,160,832
  4. Step 4: Simplify right side
    533,832x = 1,347,530,932,224
  5. Step 5: Solve for x
    x = 1,347,530,932,224/533,832
  6. Step 6: Final answer
    x = 2,524,260.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.