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Finding the Third Proportional to 305,496.56 and 671,169.80

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Solution

The third proportional to 305,496.56 and 671,169.80 is: 1,474,546.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,496.56 : 671,169.80 = 671,169.80 : x
  2. Step 2: Convert to fraction form
    305,496.56/671,169.80 = 671,169.80/x
  3. Step 3: Cross multiply
    305,496.56x = 671,169.80 × 671,169.80
  4. Step 4: Simplify right side
    305,496.56x = 450,468,896,237.23
  5. Step 5: Solve for x
    x = 450,468,896,237.23/305,496.56
  6. Step 6: Final answer
    x = 1,474,546.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.