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Finding the Third Proportional to 218,954 and 473,892

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Solution

The third proportional to 218,954 and 473,892 is: 1,025,665.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,954 : 473,892 = 473,892 : x
  2. Step 2: Convert to fraction form
    218,954/473,892 = 473,892/x
  3. Step 3: Cross multiply
    218,954x = 473,892 × 473,892
  4. Step 4: Simplify right side
    218,954x = 224,573,627,664
  5. Step 5: Solve for x
    x = 224,573,627,664/218,954
  6. Step 6: Final answer
    x = 1,025,665.79

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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.