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Finding the Third Proportional to 235,380 and 483,163.50

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Solution

The third proportional to 235,380 and 483,163.50 is: 991,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,380 : 483,163.50 = 483,163.50 : x
  2. Step 2: Convert to fraction form
    235,380/483,163.50 = 483,163.50/x
  3. Step 3: Cross multiply
    235,380x = 483,163.50 × 483,163.50
  4. Step 4: Simplify right side
    235,380x = 233,446,967,732.25
  5. Step 5: Solve for x
    x = 233,446,967,732.25/235,380
  6. Step 6: Final answer
    x = 991,787.61

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.