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Finding the Third Proportional to 283,216 and 434,652

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Solution

The third proportional to 283,216 and 434,652 is: 667,061.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,216 : 434,652 = 434,652 : x
  2. Step 2: Convert to fraction form
    283,216/434,652 = 434,652/x
  3. Step 3: Cross multiply
    283,216x = 434,652 × 434,652
  4. Step 4: Simplify right side
    283,216x = 188,922,361,104
  5. Step 5: Solve for x
    x = 188,922,361,104/283,216
  6. Step 6: Final answer
    x = 667,061.05

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.