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Finding the Third Proportional to 271,537.31 and 596,242.69

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Solution

The third proportional to 271,537.31 and 596,242.69 is: 1,309,232.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,537.31 : 596,242.69 = 596,242.69 : x
  2. Step 2: Convert to fraction form
    271,537.31/596,242.69 = 596,242.69/x
  3. Step 3: Cross multiply
    271,537.31x = 596,242.69 × 596,242.69
  4. Step 4: Simplify right side
    271,537.31x = 355,505,342,397.22
  5. Step 5: Solve for x
    x = 355,505,342,397.22/271,537.31
  6. Step 6: Final answer
    x = 1,309,232.01

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.