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Finding the Third Proportional to 219,198 and 455,616

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Solution

The third proportional to 219,198 and 455,616 is: 947,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,198 : 455,616 = 455,616 : x
  2. Step 2: Convert to fraction form
    219,198/455,616 = 455,616/x
  3. Step 3: Cross multiply
    219,198x = 455,616 × 455,616
  4. Step 4: Simplify right side
    219,198x = 207,585,939,456
  5. Step 5: Solve for x
    x = 207,585,939,456/219,198
  6. Step 6: Final answer
    x = 947,024.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.