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Finding the Third Proportional to 325,711.13 and 494,102.53

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Solution

The third proportional to 325,711.13 and 494,102.53 is: 749,551.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,711.13 : 494,102.53 = 494,102.53 : x
  2. Step 2: Convert to fraction form
    325,711.13/494,102.53 = 494,102.53/x
  3. Step 3: Cross multiply
    325,711.13x = 494,102.53 × 494,102.53
  4. Step 4: Simplify right side
    325,711.13x = 244,137,311,387.66
  5. Step 5: Solve for x
    x = 244,137,311,387.66/325,711.13
  6. Step 6: Final answer
    x = 749,551.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.