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Finding the Third Proportional to 397,359 and 594,474.75

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Solution

The third proportional to 397,359 and 594,474.75 is: 889,372.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,359 : 594,474.75 = 594,474.75 : x
  2. Step 2: Convert to fraction form
    397,359/594,474.75 = 594,474.75/x
  3. Step 3: Cross multiply
    397,359x = 594,474.75 × 594,474.75
  4. Step 4: Simplify right side
    397,359x = 353,400,228,387.56
  5. Step 5: Solve for x
    x = 353,400,228,387.56/397,359
  6. Step 6: Final answer
    x = 889,372.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.