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Finding the Third Proportional to 329,298 and 496,542

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Solution

The third proportional to 329,298 and 496,542 is: 748,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,298 : 496,542 = 496,542 : x
  2. Step 2: Convert to fraction form
    329,298/496,542 = 496,542/x
  3. Step 3: Cross multiply
    329,298x = 496,542 × 496,542
  4. Step 4: Simplify right side
    329,298x = 246,553,957,764
  5. Step 5: Solve for x
    x = 246,553,957,764/329,298
  6. Step 6: Final answer
    x = 748,725.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.