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Finding the Third Proportional to 244,704 and 541,815

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Solution

The third proportional to 244,704 and 541,815 is: 1,199,667.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,704 : 541,815 = 541,815 : x
  2. Step 2: Convert to fraction form
    244,704/541,815 = 541,815/x
  3. Step 3: Cross multiply
    244,704x = 541,815 × 541,815
  4. Step 4: Simplify right side
    244,704x = 293,563,494,225
  5. Step 5: Solve for x
    x = 293,563,494,225/244,704
  6. Step 6: Final answer
    x = 1,199,667.74

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.