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Finding the Third Proportional to 271,576 and 596,648

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Solution

The third proportional to 271,576 and 596,648 is: 1,310,825.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,576 : 596,648 = 596,648 : x
  2. Step 2: Convert to fraction form
    271,576/596,648 = 596,648/x
  3. Step 3: Cross multiply
    271,576x = 596,648 × 596,648
  4. Step 4: Simplify right side
    271,576x = 355,988,835,904
  5. Step 5: Solve for x
    x = 355,988,835,904/271,576
  6. Step 6: Final answer
    x = 1,310,825.83

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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.