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Finding the Third Proportional to 251,800 and 541,024

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Solution

The third proportional to 251,800 and 541,024 is: 1,162,458.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,800 : 541,024 = 541,024 : x
  2. Step 2: Convert to fraction form
    251,800/541,024 = 541,024/x
  3. Step 3: Cross multiply
    251,800x = 541,024 × 541,024
  4. Step 4: Simplify right side
    251,800x = 292,706,968,576
  5. Step 5: Solve for x
    x = 292,706,968,576/251,800
  6. Step 6: Final answer
    x = 1,162,458.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.