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Finding the Third Proportional to 447,525 and 932,589

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Solution

The third proportional to 447,525 and 932,589 is: 1,943,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,525 : 932,589 = 932,589 : x
  2. Step 2: Convert to fraction form
    447,525/932,589 = 932,589/x
  3. Step 3: Cross multiply
    447,525x = 932,589 × 932,589
  4. Step 4: Simplify right side
    447,525x = 869,722,242,921
  5. Step 5: Solve for x
    x = 869,722,242,921/447,525
  6. Step 6: Final answer
    x = 1,943,404.82

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.