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Finding the Third Proportional to 271,715 and 639,334.25

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Solution

The third proportional to 271,715 and 639,334.25 is: 1,504,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,715 : 639,334.25 = 639,334.25 : x
  2. Step 2: Convert to fraction form
    271,715/639,334.25 = 639,334.25/x
  3. Step 3: Cross multiply
    271,715x = 639,334.25 × 639,334.25
  4. Step 4: Simplify right side
    271,715x = 408,748,283,223.06
  5. Step 5: Solve for x
    x = 408,748,283,223.06/271,715
  6. Step 6: Final answer
    x = 1,504,327.27

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.