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Finding the Third Proportional to 296,885.25 and 647,052.75

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Solution

The third proportional to 296,885.25 and 647,052.75 is: 1,410,232.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,885.25 : 647,052.75 = 647,052.75 : x
  2. Step 2: Convert to fraction form
    296,885.25/647,052.75 = 647,052.75/x
  3. Step 3: Cross multiply
    296,885.25x = 647,052.75 × 647,052.75
  4. Step 4: Simplify right side
    296,885.25x = 418,677,261,282.56
  5. Step 5: Solve for x
    x = 418,677,261,282.56/296,885.25
  6. Step 6: Final answer
    x = 1,410,232.61

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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.