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Finding the Third Proportional to 233,760 and 504,906

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Solution

The third proportional to 233,760 and 504,906 is: 1,090,563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,760 : 504,906 = 504,906 : x
  2. Step 2: Convert to fraction form
    233,760/504,906 = 504,906/x
  3. Step 3: Cross multiply
    233,760x = 504,906 × 504,906
  4. Step 4: Simplify right side
    233,760x = 254,930,068,836
  5. Step 5: Solve for x
    x = 254,930,068,836/233,760
  6. Step 6: Final answer
    x = 1,090,563.27

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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.