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Finding the Third Proportional to 569,166.75 and 853,476.75

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Solution

The third proportional to 569,166.75 and 853,476.75 is: 1,279,805.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,166.75 : 853,476.75 = 853,476.75 : x
  2. Step 2: Convert to fraction form
    569,166.75/853,476.75 = 853,476.75/x
  3. Step 3: Cross multiply
    569,166.75x = 853,476.75 × 853,476.75
  4. Step 4: Simplify right side
    569,166.75x = 728,422,562,790.56
  5. Step 5: Solve for x
    x = 728,422,562,790.56/569,166.75
  6. Step 6: Final answer
    x = 1,279,805.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.