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Finding the Third Proportional to 222,900 and 434,638

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Solution

The third proportional to 222,900 and 434,638 is: 847,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,900 : 434,638 = 434,638 : x
  2. Step 2: Convert to fraction form
    222,900/434,638 = 434,638/x
  3. Step 3: Cross multiply
    222,900x = 434,638 × 434,638
  4. Step 4: Simplify right side
    222,900x = 188,910,191,044
  5. Step 5: Solve for x
    x = 188,910,191,044/222,900
  6. Step 6: Final answer
    x = 847,510.95

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.