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Finding the Third Proportional to 187,589 and 410,755

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Solution

The third proportional to 187,589 and 410,755 is: 899,411.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,589 : 410,755 = 410,755 : x
  2. Step 2: Convert to fraction form
    187,589/410,755 = 410,755/x
  3. Step 3: Cross multiply
    187,589x = 410,755 × 410,755
  4. Step 4: Simplify right side
    187,589x = 168,719,670,025
  5. Step 5: Solve for x
    x = 168,719,670,025/187,589
  6. Step 6: Final answer
    x = 899,411.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.