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Finding the Third Proportional to 327,141.50 and 704,395

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Solution

The third proportional to 327,141.50 and 704,395 is: 1,516,690.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,141.50 : 704,395 = 704,395 : x
  2. Step 2: Convert to fraction form
    327,141.50/704,395 = 704,395/x
  3. Step 3: Cross multiply
    327,141.50x = 704,395 × 704,395
  4. Step 4: Simplify right side
    327,141.50x = 496,172,316,025
  5. Step 5: Solve for x
    x = 496,172,316,025/327,141.50
  6. Step 6: Final answer
    x = 1,516,690.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.