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Finding the Third Proportional to 283,147.50 and 622,248

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Solution

The third proportional to 283,147.50 and 622,248 is: 1,367,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,147.50 : 622,248 = 622,248 : x
  2. Step 2: Convert to fraction form
    283,147.50/622,248 = 622,248/x
  3. Step 3: Cross multiply
    283,147.50x = 622,248 × 622,248
  4. Step 4: Simplify right side
    283,147.50x = 387,192,573,504
  5. Step 5: Solve for x
    x = 387,192,573,504/283,147.50
  6. Step 6: Final answer
    x = 1,367,458.92

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.