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Finding the Third Proportional to 364,216.50 and 548,754.75

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Solution

The third proportional to 364,216.50 and 548,754.75 is: 826,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,216.50 : 548,754.75 = 548,754.75 : x
  2. Step 2: Convert to fraction form
    364,216.50/548,754.75 = 548,754.75/x
  3. Step 3: Cross multiply
    364,216.50x = 548,754.75 × 548,754.75
  4. Step 4: Simplify right side
    364,216.50x = 301,131,775,647.56
  5. Step 5: Solve for x
    x = 301,131,775,647.56/364,216.50
  6. Step 6: Final answer
    x = 826,793.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.