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Finding the Third Proportional to 465,801.75 and 998,003.25

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Solution

The third proportional to 465,801.75 and 998,003.25 is: 2,138,271.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,801.75 : 998,003.25 = 998,003.25 : x
  2. Step 2: Convert to fraction form
    465,801.75/998,003.25 = 998,003.25/x
  3. Step 3: Cross multiply
    465,801.75x = 998,003.25 × 998,003.25
  4. Step 4: Simplify right side
    465,801.75x = 996,010,487,010.56
  5. Step 5: Solve for x
    x = 996,010,487,010.56/465,801.75
  6. Step 6: Final answer
    x = 2,138,271.24

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.