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Finding the Third Proportional to 241,132 and 523,777

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Solution

The third proportional to 241,132 and 523,777 is: 1,137,726.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,132 : 523,777 = 523,777 : x
  2. Step 2: Convert to fraction form
    241,132/523,777 = 523,777/x
  3. Step 3: Cross multiply
    241,132x = 523,777 × 523,777
  4. Step 4: Simplify right side
    241,132x = 274,342,345,729
  5. Step 5: Solve for x
    x = 274,342,345,729/241,132
  6. Step 6: Final answer
    x = 1,137,726.83

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.