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Finding the Third Proportional to 275,205.75 and 557,805.75

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Solution

The third proportional to 275,205.75 and 557,805.75 is: 1,130,598.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,205.75 : 557,805.75 = 557,805.75 : x
  2. Step 2: Convert to fraction form
    275,205.75/557,805.75 = 557,805.75/x
  3. Step 3: Cross multiply
    275,205.75x = 557,805.75 × 557,805.75
  4. Step 4: Simplify right side
    275,205.75x = 311,147,254,733.06
  5. Step 5: Solve for x
    x = 311,147,254,733.06/275,205.75
  6. Step 6: Final answer
    x = 1,130,598.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.