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Finding the Third Proportional to 277,971 and 606,126

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Solution

The third proportional to 277,971 and 606,126 is: 1,321,680.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,971 : 606,126 = 606,126 : x
  2. Step 2: Convert to fraction form
    277,971/606,126 = 606,126/x
  3. Step 3: Cross multiply
    277,971x = 606,126 × 606,126
  4. Step 4: Simplify right side
    277,971x = 367,388,727,876
  5. Step 5: Solve for x
    x = 367,388,727,876/277,971
  6. Step 6: Final answer
    x = 1,321,680.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.