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Finding the Third Proportional to 465,919.50 and 998,241

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Solution

The third proportional to 465,919.50 and 998,241 is: 2,138,749.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,919.50 : 998,241 = 998,241 : x
  2. Step 2: Convert to fraction form
    465,919.50/998,241 = 998,241/x
  3. Step 3: Cross multiply
    465,919.50x = 998,241 × 998,241
  4. Step 4: Simplify right side
    465,919.50x = 996,485,094,081
  5. Step 5: Solve for x
    x = 996,485,094,081/465,919.50
  6. Step 6: Final answer
    x = 2,138,749.49

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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.