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Finding the Third Proportional to 263,498 and 394,530

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Solution

The third proportional to 263,498 and 394,530 is: 590,721.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,498 : 394,530 = 394,530 : x
  2. Step 2: Convert to fraction form
    263,498/394,530 = 394,530/x
  3. Step 3: Cross multiply
    263,498x = 394,530 × 394,530
  4. Step 4: Simplify right side
    263,498x = 155,653,920,900
  5. Step 5: Solve for x
    x = 155,653,920,900/263,498
  6. Step 6: Final answer
    x = 590,721.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.