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Finding the Third Proportional to 233,811 and 504,983.25

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Solution

The third proportional to 233,811 and 504,983.25 is: 1,090,659.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,811 : 504,983.25 = 504,983.25 : x
  2. Step 2: Convert to fraction form
    233,811/504,983.25 = 504,983.25/x
  3. Step 3: Cross multiply
    233,811x = 504,983.25 × 504,983.25
  4. Step 4: Simplify right side
    233,811x = 255,008,082,780.56
  5. Step 5: Solve for x
    x = 255,008,082,780.56/233,811
  6. Step 6: Final answer
    x = 1,090,659.05

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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.