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Finding the Third Proportional to 326,510 and 494,694

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Solution

The third proportional to 326,510 and 494,694 is: 749,508.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,510 : 494,694 = 494,694 : x
  2. Step 2: Convert to fraction form
    326,510/494,694 = 494,694/x
  3. Step 3: Cross multiply
    326,510x = 494,694 × 494,694
  4. Step 4: Simplify right side
    326,510x = 244,722,153,636
  5. Step 5: Solve for x
    x = 244,722,153,636/326,510
  6. Step 6: Final answer
    x = 749,508.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.