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Finding the Third Proportional to 587,782 and 827,728

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Solution

The third proportional to 587,782 and 827,728 is: 1,165,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,782 : 827,728 = 827,728 : x
  2. Step 2: Convert to fraction form
    587,782/827,728 = 827,728/x
  3. Step 3: Cross multiply
    587,782x = 827,728 × 827,728
  4. Step 4: Simplify right side
    587,782x = 685,133,641,984
  5. Step 5: Solve for x
    x = 685,133,641,984/587,782
  6. Step 6: Final answer
    x = 1,165,625.42

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.