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Finding the Third Proportional to 275,595.75 and 433,077.75

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Solution

The third proportional to 275,595.75 and 433,077.75 is: 680,548.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,595.75 : 433,077.75 = 433,077.75 : x
  2. Step 2: Convert to fraction form
    275,595.75/433,077.75 = 433,077.75/x
  3. Step 3: Cross multiply
    275,595.75x = 433,077.75 × 433,077.75
  4. Step 4: Simplify right side
    275,595.75x = 187,556,337,545.06
  5. Step 5: Solve for x
    x = 187,556,337,545.06/275,595.75
  6. Step 6: Final answer
    x = 680,548.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.