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Finding the Third Proportional to 206,879 and 446,416

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Solution

The third proportional to 206,879 and 446,416 is: 963,303.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,879 : 446,416 = 446,416 : x
  2. Step 2: Convert to fraction form
    206,879/446,416 = 446,416/x
  3. Step 3: Cross multiply
    206,879x = 446,416 × 446,416
  4. Step 4: Simplify right side
    206,879x = 199,287,245,056
  5. Step 5: Solve for x
    x = 199,287,245,056/206,879
  6. Step 6: Final answer
    x = 963,303.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.