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Finding the Third Proportional to 187,593 and 409,625

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Solution

The third proportional to 187,593 and 409,625 is: 894,450.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,593 : 409,625 = 409,625 : x
  2. Step 2: Convert to fraction form
    187,593/409,625 = 409,625/x
  3. Step 3: Cross multiply
    187,593x = 409,625 × 409,625
  4. Step 4: Simplify right side
    187,593x = 167,792,640,625
  5. Step 5: Solve for x
    x = 167,792,640,625/187,593
  6. Step 6: Final answer
    x = 894,450.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.