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Finding the Third Proportional to 327,352 and 704,762

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Solution

The third proportional to 327,352 and 704,762 is: 1,517,294.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,352 : 704,762 = 704,762 : x
  2. Step 2: Convert to fraction form
    327,352/704,762 = 704,762/x
  3. Step 3: Cross multiply
    327,352x = 704,762 × 704,762
  4. Step 4: Simplify right side
    327,352x = 496,689,476,644
  5. Step 5: Solve for x
    x = 496,689,476,644/327,352
  6. Step 6: Final answer
    x = 1,517,294.77

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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.