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Finding the Third Proportional to 271,416 and 597,936

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Solution

The third proportional to 271,416 and 597,936 is: 1,317,267.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,416 : 597,936 = 597,936 : x
  2. Step 2: Convert to fraction form
    271,416/597,936 = 597,936/x
  3. Step 3: Cross multiply
    271,416x = 597,936 × 597,936
  4. Step 4: Simplify right side
    271,416x = 357,527,460,096
  5. Step 5: Solve for x
    x = 357,527,460,096/271,416
  6. Step 6: Final answer
    x = 1,317,267.44

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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.