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Finding the Third Proportional to 241,874 and 375,443

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Solution

The third proportional to 241,874 and 375,443 is: 582,772.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,874 : 375,443 = 375,443 : x
  2. Step 2: Convert to fraction form
    241,874/375,443 = 375,443/x
  3. Step 3: Cross multiply
    241,874x = 375,443 × 375,443
  4. Step 4: Simplify right side
    241,874x = 140,957,446,249
  5. Step 5: Solve for x
    x = 140,957,446,249/241,874
  6. Step 6: Final answer
    x = 582,772.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.