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Finding the Third Proportional to 293,778 and 613,098

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Solution

The third proportional to 293,778 and 613,098 is: 1,279,500.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,778 : 613,098 = 613,098 : x
  2. Step 2: Convert to fraction form
    293,778/613,098 = 613,098/x
  3. Step 3: Cross multiply
    293,778x = 613,098 × 613,098
  4. Step 4: Simplify right side
    293,778x = 375,889,157,604
  5. Step 5: Solve for x
    x = 375,889,157,604/293,778
  6. Step 6: Final answer
    x = 1,279,500.70

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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.