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Finding the Third Proportional to 305,633.25 and 671,773.50

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Solution

The third proportional to 305,633.25 and 671,773.50 is: 1,476,539.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,633.25 : 671,773.50 = 671,773.50 : x
  2. Step 2: Convert to fraction form
    305,633.25/671,773.50 = 671,773.50/x
  3. Step 3: Cross multiply
    305,633.25x = 671,773.50 × 671,773.50
  4. Step 4: Simplify right side
    305,633.25x = 451,279,635,302.25
  5. Step 5: Solve for x
    x = 451,279,635,302.25/305,633.25
  6. Step 6: Final answer
    x = 1,476,539.73

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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.