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Finding the Third Proportional to 461,289 and 998,393.75

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Solution

The third proportional to 461,289 and 998,393.75 is: 2,160,879.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,289 : 998,393.75 = 998,393.75 : x
  2. Step 2: Convert to fraction form
    461,289/998,393.75 = 998,393.75/x
  3. Step 3: Cross multiply
    461,289x = 998,393.75 × 998,393.75
  4. Step 4: Simplify right side
    461,289x = 996,790,080,039.06
  5. Step 5: Solve for x
    x = 996,790,080,039.06/461,289
  6. Step 6: Final answer
    x = 2,160,879.80

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.