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Finding the Third Proportional to 427,252.50 and 664,206.75

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Solution

The third proportional to 427,252.50 and 664,206.75 is: 1,032,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,252.50 : 664,206.75 = 664,206.75 : x
  2. Step 2: Convert to fraction form
    427,252.50/664,206.75 = 664,206.75/x
  3. Step 3: Cross multiply
    427,252.50x = 664,206.75 × 664,206.75
  4. Step 4: Simplify right side
    427,252.50x = 441,170,606,745.56
  5. Step 5: Solve for x
    x = 441,170,606,745.56/427,252.50
  6. Step 6: Final answer
    x = 1,032,575.83

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.