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Finding the Third Proportional to 274,749.75 and 585,789.75

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Solution

The third proportional to 274,749.75 and 585,789.75 is: 1,248,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,749.75 : 585,789.75 = 585,789.75 : x
  2. Step 2: Convert to fraction form
    274,749.75/585,789.75 = 585,789.75/x
  3. Step 3: Cross multiply
    274,749.75x = 585,789.75 × 585,789.75
  4. Step 4: Simplify right side
    274,749.75x = 343,149,631,205.06
  5. Step 5: Solve for x
    x = 343,149,631,205.06/274,749.75
  6. Step 6: Final answer
    x = 1,248,953.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.