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Finding the Third Proportional to 241,163 and 523,831

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Solution

The third proportional to 241,163 and 523,831 is: 1,137,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,163 : 523,831 = 523,831 : x
  2. Step 2: Convert to fraction form
    241,163/523,831 = 523,831/x
  3. Step 3: Cross multiply
    241,163x = 523,831 × 523,831
  4. Step 4: Simplify right side
    241,163x = 274,398,916,561
  5. Step 5: Solve for x
    x = 274,398,916,561/241,163
  6. Step 6: Final answer
    x = 1,137,815.16

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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.