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Finding the Third Proportional to 327,584.25 and 508,872.38

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Solution

The third proportional to 327,584.25 and 508,872.38 is: 790,487.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,584.25 : 508,872.38 = 508,872.38 : x
  2. Step 2: Convert to fraction form
    327,584.25/508,872.38 = 508,872.38/x
  3. Step 3: Cross multiply
    327,584.25x = 508,872.38 × 508,872.38
  4. Step 4: Simplify right side
    327,584.25x = 258,951,094,038.14
  5. Step 5: Solve for x
    x = 258,951,094,038.14/327,584.25
  6. Step 6: Final answer
    x = 790,487.01

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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.