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Finding the Third Proportional to 438,016.50 and 941,517

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Solution

The third proportional to 438,016.50 and 941,517 is: 2,023,791.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,016.50 : 941,517 = 941,517 : x
  2. Step 2: Convert to fraction form
    438,016.50/941,517 = 941,517/x
  3. Step 3: Cross multiply
    438,016.50x = 941,517 × 941,517
  4. Step 4: Simplify right side
    438,016.50x = 886,454,261,289
  5. Step 5: Solve for x
    x = 886,454,261,289/438,016.50
  6. Step 6: Final answer
    x = 2,023,791.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.