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Finding the Third Proportional to 271,425 and 578,922

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Solution

The third proportional to 271,425 and 578,922 is: 1,234,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,425 : 578,922 = 578,922 : x
  2. Step 2: Convert to fraction form
    271,425/578,922 = 578,922/x
  3. Step 3: Cross multiply
    271,425x = 578,922 × 578,922
  4. Step 4: Simplify right side
    271,425x = 335,150,682,084
  5. Step 5: Solve for x
    x = 335,150,682,084/271,425
  6. Step 6: Final answer
    x = 1,234,781.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.