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Finding the Third Proportional to 275,573.25 and 590,511.75

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Solution

The third proportional to 275,573.25 and 590,511.75 is: 1,265,377.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,573.25 : 590,511.75 = 590,511.75 : x
  2. Step 2: Convert to fraction form
    275,573.25/590,511.75 = 590,511.75/x
  3. Step 3: Cross multiply
    275,573.25x = 590,511.75 × 590,511.75
  4. Step 4: Simplify right side
    275,573.25x = 348,704,126,888.06
  5. Step 5: Solve for x
    x = 348,704,126,888.06/275,573.25
  6. Step 6: Final answer
    x = 1,265,377.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.