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Finding the Third Proportional to 300,716 and 654,366

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Solution

The third proportional to 300,716 and 654,366 is: 1,423,917.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,716 : 654,366 = 654,366 : x
  2. Step 2: Convert to fraction form
    300,716/654,366 = 654,366/x
  3. Step 3: Cross multiply
    300,716x = 654,366 × 654,366
  4. Step 4: Simplify right side
    300,716x = 428,194,861,956
  5. Step 5: Solve for x
    x = 428,194,861,956/300,716
  6. Step 6: Final answer
    x = 1,423,917.79

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.