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Finding the Third Proportional to 343,986.75 and 521,178.75

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Solution

The third proportional to 343,986.75 and 521,178.75 is: 789,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,986.75 : 521,178.75 = 521,178.75 : x
  2. Step 2: Convert to fraction form
    343,986.75/521,178.75 = 521,178.75/x
  3. Step 3: Cross multiply
    343,986.75x = 521,178.75 × 521,178.75
  4. Step 4: Simplify right side
    343,986.75x = 271,627,289,451.56
  5. Step 5: Solve for x
    x = 271,627,289,451.56/343,986.75
  6. Step 6: Final answer
    x = 789,644.63

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.