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Finding the Third Proportional to 233,745.75 and 504,873

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Solution

The third proportional to 233,745.75 and 504,873 is: 1,090,487.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,745.75 : 504,873 = 504,873 : x
  2. Step 2: Convert to fraction form
    233,745.75/504,873 = 504,873/x
  3. Step 3: Cross multiply
    233,745.75x = 504,873 × 504,873
  4. Step 4: Simplify right side
    233,745.75x = 254,896,746,129
  5. Step 5: Solve for x
    x = 254,896,746,129/233,745.75
  6. Step 6: Final answer
    x = 1,090,487.19

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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.