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Finding the Third Proportional to 465,864.75 and 998,160.75

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Solution

The third proportional to 465,864.75 and 998,160.75 is: 2,138,656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,864.75 : 998,160.75 = 998,160.75 : x
  2. Step 2: Convert to fraction form
    465,864.75/998,160.75 = 998,160.75/x
  3. Step 3: Cross multiply
    465,864.75x = 998,160.75 × 998,160.75
  4. Step 4: Simplify right side
    465,864.75x = 996,324,882,840.56
  5. Step 5: Solve for x
    x = 996,324,882,840.56/465,864.75
  6. Step 6: Final answer
    x = 2,138,656.94

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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.