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Finding the Third Proportional to 423,286 and 639,249

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Solution

The third proportional to 423,286 and 639,249 is: 965,397.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,286 : 639,249 = 639,249 : x
  2. Step 2: Convert to fraction form
    423,286/639,249 = 639,249/x
  3. Step 3: Cross multiply
    423,286x = 639,249 × 639,249
  4. Step 4: Simplify right side
    423,286x = 408,639,284,001
  5. Step 5: Solve for x
    x = 408,639,284,001/423,286
  6. Step 6: Final answer
    x = 965,397.59

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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.