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Finding the Third Proportional to 233,804 and 504,976

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Solution

The third proportional to 233,804 and 504,976 is: 1,090,660.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,804 : 504,976 = 504,976 : x
  2. Step 2: Convert to fraction form
    233,804/504,976 = 504,976/x
  3. Step 3: Cross multiply
    233,804x = 504,976 × 504,976
  4. Step 4: Simplify right side
    233,804x = 255,000,760,576
  5. Step 5: Solve for x
    x = 255,000,760,576/233,804
  6. Step 6: Final answer
    x = 1,090,660.38

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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.