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Finding the Third Proportional to 344,677.50 and 517,380.75

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Solution

The third proportional to 344,677.50 and 517,380.75 is: 776,618.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,677.50 : 517,380.75 = 517,380.75 : x
  2. Step 2: Convert to fraction form
    344,677.50/517,380.75 = 517,380.75/x
  3. Step 3: Cross multiply
    344,677.50x = 517,380.75 × 517,380.75
  4. Step 4: Simplify right side
    344,677.50x = 267,682,840,470.56
  5. Step 5: Solve for x
    x = 267,682,840,470.56/344,677.50
  6. Step 6: Final answer
    x = 776,618.26

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Why These Related Problems?

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