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Finding the Third Proportional to 587,771.63 and 827,712.75

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Solution

The third proportional to 587,771.63 and 827,712.75 is: 1,165,603.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,771.63 : 827,712.75 = 827,712.75 : x
  2. Step 2: Convert to fraction form
    587,771.63/827,712.75 = 827,712.75/x
  3. Step 3: Cross multiply
    587,771.63x = 827,712.75 × 827,712.75
  4. Step 4: Simplify right side
    587,771.63x = 685,108,396,512.56
  5. Step 5: Solve for x
    x = 685,108,396,512.56/587,771.63
  6. Step 6: Final answer
    x = 1,165,603.05

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