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Finding the Third Proportional to 222,887 and 434,596

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Solution

The third proportional to 222,887 and 434,596 is: 847,396.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,887 : 434,596 = 434,596 : x
  2. Step 2: Convert to fraction form
    222,887/434,596 = 434,596/x
  3. Step 3: Cross multiply
    222,887x = 434,596 × 434,596
  4. Step 4: Simplify right side
    222,887x = 188,873,683,216
  5. Step 5: Solve for x
    x = 188,873,683,216/222,887
  6. Step 6: Final answer
    x = 847,396.59

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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.