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Finding the Third Proportional to 362,819.25 and 794,680.88

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Solution

The third proportional to 362,819.25 and 794,680.88 is: 1,740,584.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,819.25 : 794,680.88 = 794,680.88 : x
  2. Step 2: Convert to fraction form
    362,819.25/794,680.88 = 794,680.88/x
  3. Step 3: Cross multiply
    362,819.25x = 794,680.88 × 794,680.88
  4. Step 4: Simplify right side
    362,819.25x = 631,517,693,090.77
  5. Step 5: Solve for x
    x = 631,517,693,090.77/362,819.25
  6. Step 6: Final answer
    x = 1,740,584.86

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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.