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Finding the Third Proportional to 241,851 and 523,101

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Solution

The third proportional to 241,851 and 523,101 is: 1,131,418.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,851 : 523,101 = 523,101 : x
  2. Step 2: Convert to fraction form
    241,851/523,101 = 523,101/x
  3. Step 3: Cross multiply
    241,851x = 523,101 × 523,101
  4. Step 4: Simplify right side
    241,851x = 273,634,656,201
  5. Step 5: Solve for x
    x = 273,634,656,201/241,851
  6. Step 6: Final answer
    x = 1,131,418.34

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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.