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Finding the Third Proportional to 271,590 and 597,324

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Solution

The third proportional to 271,590 and 597,324 is: 1,313,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,590 : 597,324 = 597,324 : x
  2. Step 2: Convert to fraction form
    271,590/597,324 = 597,324/x
  3. Step 3: Cross multiply
    271,590x = 597,324 × 597,324
  4. Step 4: Simplify right side
    271,590x = 356,795,960,976
  5. Step 5: Solve for x
    x = 356,795,960,976/271,590
  6. Step 6: Final answer
    x = 1,313,730.11

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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.