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Finding the Third Proportional to 408,893.06 and 838,190.53

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Solution

The third proportional to 408,893.06 and 838,190.53 is: 1,718,208.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,893.06 : 838,190.53 = 838,190.53 : x
  2. Step 2: Convert to fraction form
    408,893.06/838,190.53 = 838,190.53/x
  3. Step 3: Cross multiply
    408,893.06x = 838,190.53 × 838,190.53
  4. Step 4: Simplify right side
    408,893.06x = 702,563,366,677.16
  5. Step 5: Solve for x
    x = 702,563,366,677.16/408,893.06
  6. Step 6: Final answer
    x = 1,718,208.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.