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Finding the Third Proportional to 344,975.63 and 483,414.75

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Solution

The third proportional to 344,975.63 and 483,414.75 is: 677,409.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,975.63 : 483,414.75 = 483,414.75 : x
  2. Step 2: Convert to fraction form
    344,975.63/483,414.75 = 483,414.75/x
  3. Step 3: Cross multiply
    344,975.63x = 483,414.75 × 483,414.75
  4. Step 4: Simplify right side
    344,975.63x = 233,689,820,517.56
  5. Step 5: Solve for x
    x = 233,689,820,517.56/344,975.63
  6. Step 6: Final answer
    x = 677,409.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.