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Finding the Third Proportional to 441,304 and 952,580

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Solution

The third proportional to 441,304 and 952,580 is: 2,056,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,304 : 952,580 = 952,580 : x
  2. Step 2: Convert to fraction form
    441,304/952,580 = 952,580/x
  3. Step 3: Cross multiply
    441,304x = 952,580 × 952,580
  4. Step 4: Simplify right side
    441,304x = 907,408,656,400
  5. Step 5: Solve for x
    x = 907,408,656,400/441,304
  6. Step 6: Final answer
    x = 2,056,198.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.