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Finding the Third Proportional to 248,517 and 541,026

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Solution

The third proportional to 248,517 and 541,026 is: 1,177,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,517 : 541,026 = 541,026 : x
  2. Step 2: Convert to fraction form
    248,517/541,026 = 541,026/x
  3. Step 3: Cross multiply
    248,517x = 541,026 × 541,026
  4. Step 4: Simplify right side
    248,517x = 292,709,132,676
  5. Step 5: Solve for x
    x = 292,709,132,676/248,517
  6. Step 6: Final answer
    x = 1,177,823.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.