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Finding the Third Proportional to 240,351 and 512,874

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Solution

The third proportional to 240,351 and 512,874 is: 1,094,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,351 : 512,874 = 512,874 : x
  2. Step 2: Convert to fraction form
    240,351/512,874 = 512,874/x
  3. Step 3: Cross multiply
    240,351x = 512,874 × 512,874
  4. Step 4: Simplify right side
    240,351x = 263,039,739,876
  5. Step 5: Solve for x
    x = 263,039,739,876/240,351
  6. Step 6: Final answer
    x = 1,094,398.36

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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.