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Finding the Third Proportional to 244,422.88 and 505,760.84

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Solution

The third proportional to 244,422.88 and 505,760.84 is: 1,046,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,422.88 : 505,760.84 = 505,760.84 : x
  2. Step 2: Convert to fraction form
    244,422.88/505,760.84 = 505,760.84/x
  3. Step 3: Cross multiply
    244,422.88x = 505,760.84 × 505,760.84
  4. Step 4: Simplify right side
    244,422.88x = 255,794,023,168.20
  5. Step 5: Solve for x
    x = 255,794,023,168.20/244,422.88
  6. Step 6: Final answer
    x = 1,046,522.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.