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Finding the Third Proportional to 211,793.63 and 412,944.75

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Solution

The third proportional to 211,793.63 and 412,944.75 is: 805,139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,793.63 : 412,944.75 = 412,944.75 : x
  2. Step 2: Convert to fraction form
    211,793.63/412,944.75 = 412,944.75/x
  3. Step 3: Cross multiply
    211,793.63x = 412,944.75 × 412,944.75
  4. Step 4: Simplify right side
    211,793.63x = 170,523,366,552.56
  5. Step 5: Solve for x
    x = 170,523,366,552.56/211,793.63
  6. Step 6: Final answer
    x = 805,139.28

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.