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Finding the Third Proportional to 337,932 and 505,896

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Solution

The third proportional to 337,932 and 505,896 is: 757,343.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,932 : 505,896 = 505,896 : x
  2. Step 2: Convert to fraction form
    337,932/505,896 = 505,896/x
  3. Step 3: Cross multiply
    337,932x = 505,896 × 505,896
  4. Step 4: Simplify right side
    337,932x = 255,930,762,816
  5. Step 5: Solve for x
    x = 255,930,762,816/337,932
  6. Step 6: Final answer
    x = 757,343.97

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