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Finding the Third Proportional to 327,983.63 and 505,982.25

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Solution

The third proportional to 327,983.63 and 505,982.25 is: 780,581.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,983.63 : 505,982.25 = 505,982.25 : x
  2. Step 2: Convert to fraction form
    327,983.63/505,982.25 = 505,982.25/x
  3. Step 3: Cross multiply
    327,983.63x = 505,982.25 × 505,982.25
  4. Step 4: Simplify right side
    327,983.63x = 256,018,037,315.06
  5. Step 5: Solve for x
    x = 256,018,037,315.06/327,983.63
  6. Step 6: Final answer
    x = 780,581.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.