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Finding the Third Proportional to 325,954.13 and 504,279.56

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Solution

The third proportional to 325,954.13 and 504,279.56 is: 780,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,954.13 : 504,279.56 = 504,279.56 : x
  2. Step 2: Convert to fraction form
    325,954.13/504,279.56 = 504,279.56/x
  3. Step 3: Cross multiply
    325,954.13x = 504,279.56 × 504,279.56
  4. Step 4: Simplify right side
    325,954.13x = 254,297,877,155.19
  5. Step 5: Solve for x
    x = 254,297,877,155.19/325,954.13
  6. Step 6: Final answer
    x = 780,164.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.