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Finding the Third Proportional to 408,786.75 and 638,010

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Solution

The third proportional to 408,786.75 and 638,010 is: 995,767.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,786.75 : 638,010 = 638,010 : x
  2. Step 2: Convert to fraction form
    408,786.75/638,010 = 638,010/x
  3. Step 3: Cross multiply
    408,786.75x = 638,010 × 638,010
  4. Step 4: Simplify right side
    408,786.75x = 407,056,760,100
  5. Step 5: Solve for x
    x = 407,056,760,100/408,786.75
  6. Step 6: Final answer
    x = 995,767.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.