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Finding the Third Proportional to 271,474 and 596,119

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Solution

The third proportional to 271,474 and 596,119 is: 1,308,994.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,474 : 596,119 = 596,119 : x
  2. Step 2: Convert to fraction form
    271,474/596,119 = 596,119/x
  3. Step 3: Cross multiply
    271,474x = 596,119 × 596,119
  4. Step 4: Simplify right side
    271,474x = 355,357,862,161
  5. Step 5: Solve for x
    x = 355,357,862,161/271,474
  6. Step 6: Final answer
    x = 1,308,994.09

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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.