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Finding the Third Proportional to 271,539 and 596,247

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Solution

The third proportional to 271,539 and 596,247 is: 1,309,242.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,539 : 596,247 = 596,247 : x
  2. Step 2: Convert to fraction form
    271,539/596,247 = 596,247/x
  3. Step 3: Cross multiply
    271,539x = 596,247 × 596,247
  4. Step 4: Simplify right side
    271,539x = 355,510,485,009
  5. Step 5: Solve for x
    x = 355,510,485,009/271,539
  6. Step 6: Final answer
    x = 1,309,242.82

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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.