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Finding the Third Proportional to 228,401 and 363,722

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Solution

The third proportional to 228,401 and 363,722 is: 579,216.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,401 : 363,722 = 363,722 : x
  2. Step 2: Convert to fraction form
    228,401/363,722 = 363,722/x
  3. Step 3: Cross multiply
    228,401x = 363,722 × 363,722
  4. Step 4: Simplify right side
    228,401x = 132,293,693,284
  5. Step 5: Solve for x
    x = 132,293,693,284/228,401
  6. Step 6: Final answer
    x = 579,216.79

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.