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Finding the Third Proportional to 354,850.50 and 814,405.50

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Solution

The third proportional to 354,850.50 and 814,405.50 is: 1,869,114.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,850.50 : 814,405.50 = 814,405.50 : x
  2. Step 2: Convert to fraction form
    354,850.50/814,405.50 = 814,405.50/x
  3. Step 3: Cross multiply
    354,850.50x = 814,405.50 × 814,405.50
  4. Step 4: Simplify right side
    354,850.50x = 663,256,318,430.25
  5. Step 5: Solve for x
    x = 663,256,318,430.25/354,850.50
  6. Step 6: Final answer
    x = 1,869,114.79

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.