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Finding the Third Proportional to 271,612 and 597,368

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Solution

The third proportional to 271,612 and 597,368 is: 1,313,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,612 : 597,368 = 597,368 : x
  2. Step 2: Convert to fraction form
    271,612/597,368 = 597,368/x
  3. Step 3: Cross multiply
    271,612x = 597,368 × 597,368
  4. Step 4: Simplify right side
    271,612x = 356,848,527,424
  5. Step 5: Solve for x
    x = 356,848,527,424/271,612
  6. Step 6: Final answer
    x = 1,313,817.24

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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.