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Finding the Third Proportional to 271,419.19 and 579,588.75

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Solution

The third proportional to 271,419.19 and 579,588.75 is: 1,237,654.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,419.19 : 579,588.75 = 579,588.75 : x
  2. Step 2: Convert to fraction form
    271,419.19/579,588.75 = 579,588.75/x
  3. Step 3: Cross multiply
    271,419.19x = 579,588.75 × 579,588.75
  4. Step 4: Simplify right side
    271,419.19x = 335,923,119,126.56
  5. Step 5: Solve for x
    x = 335,923,119,126.56/271,419.19
  6. Step 6: Final answer
    x = 1,237,654.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.