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Finding the Third Proportional to 244,723 and 541,853

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Solution

The third proportional to 244,723 and 541,853 is: 1,199,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,723 : 541,853 = 541,853 : x
  2. Step 2: Convert to fraction form
    244,723/541,853 = 541,853/x
  3. Step 3: Cross multiply
    244,723x = 541,853 × 541,853
  4. Step 4: Simplify right side
    244,723x = 293,604,673,609
  5. Step 5: Solve for x
    x = 293,604,673,609/244,723
  6. Step 6: Final answer
    x = 1,199,742.87

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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.