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Finding the Third Proportional to 343,509.75 and 734,190.75

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Solution

The third proportional to 343,509.75 and 734,190.75 is: 1,569,201.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,509.75 : 734,190.75 = 734,190.75 : x
  2. Step 2: Convert to fraction form
    343,509.75/734,190.75 = 734,190.75/x
  3. Step 3: Cross multiply
    343,509.75x = 734,190.75 × 734,190.75
  4. Step 4: Simplify right side
    343,509.75x = 539,036,057,385.56
  5. Step 5: Solve for x
    x = 539,036,057,385.56/343,509.75
  6. Step 6: Final answer
    x = 1,569,201.62

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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.