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Finding the Third Proportional to 218,941 and 473,866

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Solution

The third proportional to 218,941 and 473,866 is: 1,025,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,941 : 473,866 = 473,866 : x
  2. Step 2: Convert to fraction form
    218,941/473,866 = 473,866/x
  3. Step 3: Cross multiply
    218,941x = 473,866 × 473,866
  4. Step 4: Simplify right side
    218,941x = 224,548,985,956
  5. Step 5: Solve for x
    x = 224,548,985,956/218,941
  6. Step 6: Final answer
    x = 1,025,614.14

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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.