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Finding the Third Proportional to 305,535 and 671,982.75

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Solution

The third proportional to 305,535 and 671,982.75 is: 1,477,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,535 : 671,982.75 = 671,982.75 : x
  2. Step 2: Convert to fraction form
    305,535/671,982.75 = 671,982.75/x
  3. Step 3: Cross multiply
    305,535x = 671,982.75 × 671,982.75
  4. Step 4: Simplify right side
    305,535x = 451,560,816,297.56
  5. Step 5: Solve for x
    x = 451,560,816,297.56/305,535
  6. Step 6: Final answer
    x = 1,477,934.82

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