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Finding the Third Proportional to 218,676 and 473,622

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Solution

The third proportional to 218,676 and 473,622 is: 1,025,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,676 : 473,622 = 473,622 : x
  2. Step 2: Convert to fraction form
    218,676/473,622 = 473,622/x
  3. Step 3: Cross multiply
    218,676x = 473,622 × 473,622
  4. Step 4: Simplify right side
    218,676x = 224,317,798,884
  5. Step 5: Solve for x
    x = 224,317,798,884/218,676
  6. Step 6: Final answer
    x = 1,025,799.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.