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Finding the Third Proportional to 209,790 and 322,649

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Solution

The third proportional to 209,790 and 322,649 is: 496,221.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,790 : 322,649 = 322,649 : x
  2. Step 2: Convert to fraction form
    209,790/322,649 = 322,649/x
  3. Step 3: Cross multiply
    209,790x = 322,649 × 322,649
  4. Step 4: Simplify right side
    209,790x = 104,102,377,201
  5. Step 5: Solve for x
    x = 104,102,377,201/209,790
  6. Step 6: Final answer
    x = 496,221.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.