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Finding the Third Proportional to 235,474.50 and 483,357

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Solution

The third proportional to 235,474.50 and 483,357 is: 992,183.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,474.50 : 483,357 = 483,357 : x
  2. Step 2: Convert to fraction form
    235,474.50/483,357 = 483,357/x
  3. Step 3: Cross multiply
    235,474.50x = 483,357 × 483,357
  4. Step 4: Simplify right side
    235,474.50x = 233,633,989,449
  5. Step 5: Solve for x
    x = 233,633,989,449/235,474.50
  6. Step 6: Final answer
    x = 992,183.82

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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.