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Finding the Third Proportional to 283,096 and 434,472

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Solution

The third proportional to 283,096 and 434,472 is: 666,791.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,096 : 434,472 = 434,472 : x
  2. Step 2: Convert to fraction form
    283,096/434,472 = 434,472/x
  3. Step 3: Cross multiply
    283,096x = 434,472 × 434,472
  4. Step 4: Simplify right side
    283,096x = 188,765,918,784
  5. Step 5: Solve for x
    x = 188,765,918,784/283,096
  6. Step 6: Final answer
    x = 666,791.19

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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.