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Finding the Third Proportional to 244,706 and 541,819

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Solution

The third proportional to 244,706 and 541,819 is: 1,199,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,706 : 541,819 = 541,819 : x
  2. Step 2: Convert to fraction form
    244,706/541,819 = 541,819/x
  3. Step 3: Cross multiply
    244,706x = 541,819 × 541,819
  4. Step 4: Simplify right side
    244,706x = 293,567,828,761
  5. Step 5: Solve for x
    x = 293,567,828,761/244,706
  6. Step 6: Final answer
    x = 1,199,675.65

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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.