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Finding the Third Proportional to 215,529.75 and 468,366.75

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Solution

The third proportional to 215,529.75 and 468,366.75 is: 1,017,805.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,529.75 : 468,366.75 = 468,366.75 : x
  2. Step 2: Convert to fraction form
    215,529.75/468,366.75 = 468,366.75/x
  3. Step 3: Cross multiply
    215,529.75x = 468,366.75 × 468,366.75
  4. Step 4: Simplify right side
    215,529.75x = 219,367,412,505.56
  5. Step 5: Solve for x
    x = 219,367,412,505.56/215,529.75
  6. Step 6: Final answer
    x = 1,017,805.72

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.