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Finding the Third Proportional to 327,482 and 505,695

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Solution

The third proportional to 327,482 and 505,695 is: 780,890.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,482 : 505,695 = 505,695 : x
  2. Step 2: Convert to fraction form
    327,482/505,695 = 505,695/x
  3. Step 3: Cross multiply
    327,482x = 505,695 × 505,695
  4. Step 4: Simplify right side
    327,482x = 255,727,433,025
  5. Step 5: Solve for x
    x = 255,727,433,025/327,482
  6. Step 6: Final answer
    x = 780,890.04

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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.