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Finding the Third Proportional to 283,733.25 and 622,749

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Solution

The third proportional to 283,733.25 and 622,749 is: 1,366,834.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,733.25 : 622,749 = 622,749 : x
  2. Step 2: Convert to fraction form
    283,733.25/622,749 = 622,749/x
  3. Step 3: Cross multiply
    283,733.25x = 622,749 × 622,749
  4. Step 4: Simplify right side
    283,733.25x = 387,816,317,001
  5. Step 5: Solve for x
    x = 387,816,317,001/283,733.25
  6. Step 6: Final answer
    x = 1,366,834.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.