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Finding the Third Proportional to 569,578.75 and 801,075

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Solution

The third proportional to 569,578.75 and 801,075 is: 1,126,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,578.75 : 801,075 = 801,075 : x
  2. Step 2: Convert to fraction form
    569,578.75/801,075 = 801,075/x
  3. Step 3: Cross multiply
    569,578.75x = 801,075 × 801,075
  4. Step 4: Simplify right side
    569,578.75x = 641,721,155,625
  5. Step 5: Solve for x
    x = 641,721,155,625/569,578.75
  6. Step 6: Final answer
    x = 1,126,659.23

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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.