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Finding the Third Proportional to 271,401.50 and 578,872

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Solution

The third proportional to 271,401.50 and 578,872 is: 1,234,675.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,401.50 : 578,872 = 578,872 : x
  2. Step 2: Convert to fraction form
    271,401.50/578,872 = 578,872/x
  3. Step 3: Cross multiply
    271,401.50x = 578,872 × 578,872
  4. Step 4: Simplify right side
    271,401.50x = 335,092,792,384
  5. Step 5: Solve for x
    x = 335,092,792,384/271,401.50
  6. Step 6: Final answer
    x = 1,234,675.54

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