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Finding the Third Proportional to 378,994.50 and 557,406.75

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Solution

The third proportional to 378,994.50 and 557,406.75 is: 819,806.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,994.50 : 557,406.75 = 557,406.75 : x
  2. Step 2: Convert to fraction form
    378,994.50/557,406.75 = 557,406.75/x
  3. Step 3: Cross multiply
    378,994.50x = 557,406.75 × 557,406.75
  4. Step 4: Simplify right side
    378,994.50x = 310,702,284,945.56
  5. Step 5: Solve for x
    x = 310,702,284,945.56/378,994.50
  6. Step 6: Final answer
    x = 819,806.84

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.