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Finding the Third Proportional to 297,681.75 and 449,286.75

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Solution

The third proportional to 297,681.75 and 449,286.75 is: 678,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,681.75 : 449,286.75 = 449,286.75 : x
  2. Step 2: Convert to fraction form
    297,681.75/449,286.75 = 449,286.75/x
  3. Step 3: Cross multiply
    297,681.75x = 449,286.75 × 449,286.75
  4. Step 4: Simplify right side
    297,681.75x = 201,858,583,725.56
  5. Step 5: Solve for x
    x = 201,858,583,725.56/297,681.75
  6. Step 6: Final answer
    x = 678,101.98

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.