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Finding the Third Proportional to 283,729.50 and 622,741.50

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Solution

The third proportional to 283,729.50 and 622,741.50 is: 1,366,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,729.50 : 622,741.50 = 622,741.50 : x
  2. Step 2: Convert to fraction form
    283,729.50/622,741.50 = 622,741.50/x
  3. Step 3: Cross multiply
    283,729.50x = 622,741.50 × 622,741.50
  4. Step 4: Simplify right side
    283,729.50x = 387,806,975,822.25
  5. Step 5: Solve for x
    x = 387,806,975,822.25/283,729.50
  6. Step 6: Final answer
    x = 1,366,819.37

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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.