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Finding the Third Proportional to 461,287.88 and 998,391.75

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Solution

The third proportional to 461,287.88 and 998,391.75 is: 2,160,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,287.88 : 998,391.75 = 998,391.75 : x
  2. Step 2: Convert to fraction form
    461,287.88/998,391.75 = 998,391.75/x
  3. Step 3: Cross multiply
    461,287.88x = 998,391.75 × 998,391.75
  4. Step 4: Simplify right side
    461,287.88x = 996,786,086,468.06
  5. Step 5: Solve for x
    x = 996,786,086,468.06/461,287.88
  6. Step 6: Final answer
    x = 2,160,876.41

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Why These Related Problems?

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