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Finding the Third Proportional to 408,258 and 818,158.50

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Solution

The third proportional to 408,258 and 818,158.50 is: 1,639,608.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,258 : 818,158.50 = 818,158.50 : x
  2. Step 2: Convert to fraction form
    408,258/818,158.50 = 818,158.50/x
  3. Step 3: Cross multiply
    408,258x = 818,158.50 × 818,158.50
  4. Step 4: Simplify right side
    408,258x = 669,383,331,122.25
  5. Step 5: Solve for x
    x = 669,383,331,122.25/408,258
  6. Step 6: Final answer
    x = 1,639,608.61

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.