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Finding the Third Proportional to 233,722 and 504,812

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Solution

The third proportional to 233,722 and 504,812 is: 1,090,334.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,722 : 504,812 = 504,812 : x
  2. Step 2: Convert to fraction form
    233,722/504,812 = 504,812/x
  3. Step 3: Cross multiply
    233,722x = 504,812 × 504,812
  4. Step 4: Simplify right side
    233,722x = 254,835,155,344
  5. Step 5: Solve for x
    x = 254,835,155,344/233,722
  6. Step 6: Final answer
    x = 1,090,334.48

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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.