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Finding the Third Proportional to 343,504.50 and 734,180.75

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Solution

The third proportional to 343,504.50 and 734,180.75 is: 1,569,182.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,504.50 : 734,180.75 = 734,180.75 : x
  2. Step 2: Convert to fraction form
    343,504.50/734,180.75 = 734,180.75/x
  3. Step 3: Cross multiply
    343,504.50x = 734,180.75 × 734,180.75
  4. Step 4: Simplify right side
    343,504.50x = 539,021,373,670.56
  5. Step 5: Solve for x
    x = 539,021,373,670.56/343,504.50
  6. Step 6: Final answer
    x = 1,569,182.86

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.