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Finding the Third Proportional to 219,556.50 and 472,401

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Solution

The third proportional to 219,556.50 and 472,401 is: 1,016,424.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,556.50 : 472,401 = 472,401 : x
  2. Step 2: Convert to fraction form
    219,556.50/472,401 = 472,401/x
  3. Step 3: Cross multiply
    219,556.50x = 472,401 × 472,401
  4. Step 4: Simplify right side
    219,556.50x = 223,162,704,801
  5. Step 5: Solve for x
    x = 223,162,704,801/219,556.50
  6. Step 6: Final answer
    x = 1,016,424.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.