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Finding the Third Proportional to 393,707.75 and 843,180.75

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Solution

The third proportional to 393,707.75 and 843,180.75 is: 1,805,790.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,707.75 : 843,180.75 = 843,180.75 : x
  2. Step 2: Convert to fraction form
    393,707.75/843,180.75 = 843,180.75/x
  3. Step 3: Cross multiply
    393,707.75x = 843,180.75 × 843,180.75
  4. Step 4: Simplify right side
    393,707.75x = 710,953,777,170.56
  5. Step 5: Solve for x
    x = 710,953,777,170.56/393,707.75
  6. Step 6: Final answer
    x = 1,805,790.66

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.