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Finding the Third Proportional to 222,649 and 453,073

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Solution

The third proportional to 222,649 and 453,073 is: 921,967.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,649 : 453,073 = 453,073 : x
  2. Step 2: Convert to fraction form
    222,649/453,073 = 453,073/x
  3. Step 3: Cross multiply
    222,649x = 453,073 × 453,073
  4. Step 4: Simplify right side
    222,649x = 205,275,143,329
  5. Step 5: Solve for x
    x = 205,275,143,329/222,649
  6. Step 6: Final answer
    x = 921,967.51

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.