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Finding the Third Proportional to 204,940.13 and 440,498.25

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Solution

The third proportional to 204,940.13 and 440,498.25 is: 946,806.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,940.13 : 440,498.25 = 440,498.25 : x
  2. Step 2: Convert to fraction form
    204,940.13/440,498.25 = 440,498.25/x
  3. Step 3: Cross multiply
    204,940.13x = 440,498.25 × 440,498.25
  4. Step 4: Simplify right side
    204,940.13x = 194,038,708,253.06
  5. Step 5: Solve for x
    x = 194,038,708,253.06/204,940.13
  6. Step 6: Final answer
    x = 946,806.82

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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.