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Finding the Third Proportional to 271,228.88 and 590,675.63

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Solution

The third proportional to 271,228.88 and 590,675.63 is: 1,286,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,228.88 : 590,675.63 = 590,675.63 : x
  2. Step 2: Convert to fraction form
    271,228.88/590,675.63 = 590,675.63/x
  3. Step 3: Cross multiply
    271,228.88x = 590,675.63 × 590,675.63
  4. Step 4: Simplify right side
    271,228.88x = 348,897,693,969.14
  5. Step 5: Solve for x
    x = 348,897,693,969.14/271,228.88
  6. Step 6: Final answer
    x = 1,286,358.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.