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Finding the Third Proportional to 271,682.07 and 590,072.82

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Solution

The third proportional to 271,682.07 and 590,072.82 is: 1,281,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,682.07 : 590,072.82 = 590,072.82 : x
  2. Step 2: Convert to fraction form
    271,682.07/590,072.82 = 590,072.82/x
  3. Step 3: Cross multiply
    271,682.07x = 590,072.82 × 590,072.82
  4. Step 4: Simplify right side
    271,682.07x = 348,185,930,966.61
  5. Step 5: Solve for x
    x = 348,185,930,966.61/271,682.07
  6. Step 6: Final answer
    x = 1,281,593.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.