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Finding the Third Proportional to 213,108 and 446,628

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Solution

The third proportional to 213,108 and 446,628 is: 936,035.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,108 : 446,628 = 446,628 : x
  2. Step 2: Convert to fraction form
    213,108/446,628 = 446,628/x
  3. Step 3: Cross multiply
    213,108x = 446,628 × 446,628
  4. Step 4: Simplify right side
    213,108x = 199,476,570,384
  5. Step 5: Solve for x
    x = 199,476,570,384/213,108
  6. Step 6: Final answer
    x = 936,035.11

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.