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Finding the Third Proportional to 277,873 and 401,500

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Solution

The third proportional to 277,873 and 401,500 is: 580,129.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,873 : 401,500 = 401,500 : x
  2. Step 2: Convert to fraction form
    277,873/401,500 = 401,500/x
  3. Step 3: Cross multiply
    277,873x = 401,500 × 401,500
  4. Step 4: Simplify right side
    277,873x = 161,202,250,000
  5. Step 5: Solve for x
    x = 161,202,250,000/277,873
  6. Step 6: Final answer
    x = 580,129.23

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.