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Finding the Third Proportional to 229,550.63 and 496,500.75

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Solution

The third proportional to 229,550.63 and 496,500.75 is: 1,073,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,550.63 : 496,500.75 = 496,500.75 : x
  2. Step 2: Convert to fraction form
    229,550.63/496,500.75 = 496,500.75/x
  3. Step 3: Cross multiply
    229,550.63x = 496,500.75 × 496,500.75
  4. Step 4: Simplify right side
    229,550.63x = 246,512,994,750.56
  5. Step 5: Solve for x
    x = 246,512,994,750.56/229,550.63
  6. Step 6: Final answer
    x = 1,073,893.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.