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Finding the Third Proportional to 271,533 and 596,592

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Solution

The third proportional to 271,533 and 596,592 is: 1,310,787.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,533 : 596,592 = 596,592 : x
  2. Step 2: Convert to fraction form
    271,533/596,592 = 596,592/x
  3. Step 3: Cross multiply
    271,533x = 596,592 × 596,592
  4. Step 4: Simplify right side
    271,533x = 355,922,014,464
  5. Step 5: Solve for x
    x = 355,922,014,464/271,533
  6. Step 6: Final answer
    x = 1,310,787.32

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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.