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Finding the Third Proportional to 235,905.54 and 504,872.37

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Solution

The third proportional to 235,905.54 and 504,872.37 is: 1,080,500.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,905.54 : 504,872.37 = 504,872.37 : x
  2. Step 2: Convert to fraction form
    235,905.54/504,872.37 = 504,872.37/x
  3. Step 3: Cross multiply
    235,905.54x = 504,872.37 × 504,872.37
  4. Step 4: Simplify right side
    235,905.54x = 254,896,107,149.51
  5. Step 5: Solve for x
    x = 254,896,107,149.51/235,905.54
  6. Step 6: Final answer
    x = 1,080,500.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.