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Finding the Third Proportional to 307,596 and 413,874

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Solution

The third proportional to 307,596 and 413,874 is: 556,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,596 : 413,874 = 413,874 : x
  2. Step 2: Convert to fraction form
    307,596/413,874 = 413,874/x
  3. Step 3: Cross multiply
    307,596x = 413,874 × 413,874
  4. Step 4: Simplify right side
    307,596x = 171,291,687,876
  5. Step 5: Solve for x
    x = 171,291,687,876/307,596
  6. Step 6: Final answer
    x = 556,872.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.