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Finding the Third Proportional to 327,141 and 704,394

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Solution

The third proportional to 327,141 and 704,394 is: 1,516,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,141 : 704,394 = 704,394 : x
  2. Step 2: Convert to fraction form
    327,141/704,394 = 704,394/x
  3. Step 3: Cross multiply
    327,141x = 704,394 × 704,394
  4. Step 4: Simplify right side
    327,141x = 496,170,907,236
  5. Step 5: Solve for x
    x = 496,170,907,236/327,141
  6. Step 6: Final answer
    x = 1,516,688.24

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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.