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Finding the Third Proportional to 337,914 and 505,872

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Solution

The third proportional to 337,914 and 505,872 is: 757,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,914 : 505,872 = 505,872 : x
  2. Step 2: Convert to fraction form
    337,914/505,872 = 505,872/x
  3. Step 3: Cross multiply
    337,914x = 505,872 × 505,872
  4. Step 4: Simplify right side
    337,914x = 255,906,480,384
  5. Step 5: Solve for x
    x = 255,906,480,384/337,914
  6. Step 6: Final answer
    x = 757,312.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.