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Finding the Third Proportional to 233,783 and 504,049.50

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Solution

The third proportional to 233,783 and 504,049.50 is: 1,086,759.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,783 : 504,049.50 = 504,049.50 : x
  2. Step 2: Convert to fraction form
    233,783/504,049.50 = 504,049.50/x
  3. Step 3: Cross multiply
    233,783x = 504,049.50 × 504,049.50
  4. Step 4: Simplify right side
    233,783x = 254,065,898,450.25
  5. Step 5: Solve for x
    x = 254,065,898,450.25/233,783
  6. Step 6: Final answer
    x = 1,086,759.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.