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Finding the Third Proportional to 587,770.13 and 827,708.25

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Solution

The third proportional to 587,770.13 and 827,708.25 is: 1,165,593.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,770.13 : 827,708.25 = 827,708.25 : x
  2. Step 2: Convert to fraction form
    587,770.13/827,708.25 = 827,708.25/x
  3. Step 3: Cross multiply
    587,770.13x = 827,708.25 × 827,708.25
  4. Step 4: Simplify right side
    587,770.13x = 685,100,947,118.06
  5. Step 5: Solve for x
    x = 685,100,947,118.06/587,770.13
  6. Step 6: Final answer
    x = 1,165,593.35

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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.