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Finding the Third Proportional to 284,578 and 412,171

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Solution

The third proportional to 284,578 and 412,171 is: 596,971.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,578 : 412,171 = 412,171 : x
  2. Step 2: Convert to fraction form
    284,578/412,171 = 412,171/x
  3. Step 3: Cross multiply
    284,578x = 412,171 × 412,171
  4. Step 4: Simplify right side
    284,578x = 169,884,933,241
  5. Step 5: Solve for x
    x = 169,884,933,241/284,578
  6. Step 6: Final answer
    x = 596,971.42

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.