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Finding the Third Proportional to 241,987 and 555,431

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Solution

The third proportional to 241,987 and 555,431 is: 1,274,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,987 : 555,431 = 555,431 : x
  2. Step 2: Convert to fraction form
    241,987/555,431 = 555,431/x
  3. Step 3: Cross multiply
    241,987x = 555,431 × 555,431
  4. Step 4: Simplify right side
    241,987x = 308,503,595,761
  5. Step 5: Solve for x
    x = 308,503,595,761/241,987
  6. Step 6: Final answer
    x = 1,274,876.73

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.