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Finding the Third Proportional to 327,486.75 and 520,755.75

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Solution

The third proportional to 327,486.75 and 520,755.75 is: 828,084.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,486.75 : 520,755.75 = 520,755.75 : x
  2. Step 2: Convert to fraction form
    327,486.75/520,755.75 = 520,755.75/x
  3. Step 3: Cross multiply
    327,486.75x = 520,755.75 × 520,755.75
  4. Step 4: Simplify right side
    327,486.75x = 271,186,551,158.06
  5. Step 5: Solve for x
    x = 271,186,551,158.06/327,486.75
  6. Step 6: Final answer
    x = 828,084.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.