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Finding the Third Proportional to 209,721 and 333,584

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Solution

The third proportional to 209,721 and 333,584 is: 530,601.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,721 : 333,584 = 333,584 : x
  2. Step 2: Convert to fraction form
    209,721/333,584 = 333,584/x
  3. Step 3: Cross multiply
    209,721x = 333,584 × 333,584
  4. Step 4: Simplify right side
    209,721x = 111,278,285,056
  5. Step 5: Solve for x
    x = 111,278,285,056/209,721
  6. Step 6: Final answer
    x = 530,601.54

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.