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Finding the Third Proportional to 286,586 and 451,863

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Solution

The third proportional to 286,586 and 451,863 is: 712,456.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,586 : 451,863 = 451,863 : x
  2. Step 2: Convert to fraction form
    286,586/451,863 = 451,863/x
  3. Step 3: Cross multiply
    286,586x = 451,863 × 451,863
  4. Step 4: Simplify right side
    286,586x = 204,180,170,769
  5. Step 5: Solve for x
    x = 204,180,170,769/286,586
  6. Step 6: Final answer
    x = 712,456.89

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.