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Finding the Third Proportional to 271,403 and 578,874

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Solution

The third proportional to 271,403 and 578,874 is: 1,234,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,403 : 578,874 = 578,874 : x
  2. Step 2: Convert to fraction form
    271,403/578,874 = 578,874/x
  3. Step 3: Cross multiply
    271,403x = 578,874 × 578,874
  4. Step 4: Simplify right side
    271,403x = 335,095,107,876
  5. Step 5: Solve for x
    x = 335,095,107,876/271,403
  6. Step 6: Final answer
    x = 1,234,677.24

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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.