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Finding the Third Proportional to 251,291 and 541,948

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Solution

The third proportional to 251,291 and 541,948 is: 1,168,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,291 : 541,948 = 541,948 : x
  2. Step 2: Convert to fraction form
    251,291/541,948 = 541,948/x
  3. Step 3: Cross multiply
    251,291x = 541,948 × 541,948
  4. Step 4: Simplify right side
    251,291x = 293,707,634,704
  5. Step 5: Solve for x
    x = 293,707,634,704/251,291
  6. Step 6: Final answer
    x = 1,168,794.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.