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Finding the Third Proportional to 293,367 and 613,935

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Solution

The third proportional to 293,367 and 613,935 is: 1,284,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,367 : 613,935 = 613,935 : x
  2. Step 2: Convert to fraction form
    293,367/613,935 = 613,935/x
  3. Step 3: Cross multiply
    293,367x = 613,935 × 613,935
  4. Step 4: Simplify right side
    293,367x = 376,916,184,225
  5. Step 5: Solve for x
    x = 376,916,184,225/293,367
  6. Step 6: Final answer
    x = 1,284,794.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.