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Finding the Third Proportional to 587,779 and 827,723

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Solution

The third proportional to 587,779 and 827,723 is: 1,165,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,779 : 827,723 = 827,723 : x
  2. Step 2: Convert to fraction form
    587,779/827,723 = 827,723/x
  3. Step 3: Cross multiply
    587,779x = 827,723 × 827,723
  4. Step 4: Simplify right side
    587,779x = 685,125,364,729
  5. Step 5: Solve for x
    x = 685,125,364,729/587,779
  6. Step 6: Final answer
    x = 1,165,617.29

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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.