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Finding the Third Proportional to 410,149.50 and 548,766.75

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Solution

The third proportional to 410,149.50 and 548,766.75 is: 734,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,149.50 : 548,766.75 = 548,766.75 : x
  2. Step 2: Convert to fraction form
    410,149.50/548,766.75 = 548,766.75/x
  3. Step 3: Cross multiply
    410,149.50x = 548,766.75 × 548,766.75
  4. Step 4: Simplify right side
    410,149.50x = 301,144,945,905.56
  5. Step 5: Solve for x
    x = 301,144,945,905.56/410,149.50
  6. Step 6: Final answer
    x = 734,232.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.