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Finding the Third Proportional to 241,157 and 523,819

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Solution

The third proportional to 241,157 and 523,819 is: 1,137,791.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,157 : 523,819 = 523,819 : x
  2. Step 2: Convert to fraction form
    241,157/523,819 = 523,819/x
  3. Step 3: Cross multiply
    241,157x = 523,819 × 523,819
  4. Step 4: Simplify right side
    241,157x = 274,386,344,761
  5. Step 5: Solve for x
    x = 274,386,344,761/241,157
  6. Step 6: Final answer
    x = 1,137,791.33

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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.