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Finding the Third Proportional to 441,474 and 699,525

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Solution

The third proportional to 441,474 and 699,525 is: 1,108,412.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,474 : 699,525 = 699,525 : x
  2. Step 2: Convert to fraction form
    441,474/699,525 = 699,525/x
  3. Step 3: Cross multiply
    441,474x = 699,525 × 699,525
  4. Step 4: Simplify right side
    441,474x = 489,335,225,625
  5. Step 5: Solve for x
    x = 489,335,225,625/441,474
  6. Step 6: Final answer
    x = 1,108,412.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.