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Finding the Third Proportional to 321,933 and 635,758.50

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Solution

The third proportional to 321,933 and 635,758.50 is: 1,255,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,933 : 635,758.50 = 635,758.50 : x
  2. Step 2: Convert to fraction form
    321,933/635,758.50 = 635,758.50/x
  3. Step 3: Cross multiply
    321,933x = 635,758.50 × 635,758.50
  4. Step 4: Simplify right side
    321,933x = 404,188,870,322.25
  5. Step 5: Solve for x
    x = 404,188,870,322.25/321,933
  6. Step 6: Final answer
    x = 1,255,506.18

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.