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Finding the Third Proportional to 304,462 and 463,874

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Solution

The third proportional to 304,462 and 463,874 is: 706,751.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,462 : 463,874 = 463,874 : x
  2. Step 2: Convert to fraction form
    304,462/463,874 = 463,874/x
  3. Step 3: Cross multiply
    304,462x = 463,874 × 463,874
  4. Step 4: Simplify right side
    304,462x = 215,179,087,876
  5. Step 5: Solve for x
    x = 215,179,087,876/304,462
  6. Step 6: Final answer
    x = 706,751.87

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.