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Finding the Third Proportional to 283,928 and 576,199

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Solution

The third proportional to 283,928 and 576,199 is: 1,169,329.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,928 : 576,199 = 576,199 : x
  2. Step 2: Convert to fraction form
    283,928/576,199 = 576,199/x
  3. Step 3: Cross multiply
    283,928x = 576,199 × 576,199
  4. Step 4: Simplify right side
    283,928x = 332,005,287,601
  5. Step 5: Solve for x
    x = 332,005,287,601/283,928
  6. Step 6: Final answer
    x = 1,169,329.15

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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.