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Finding the Third Proportional to 381,840.75 and 754,039.13

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Solution

The third proportional to 381,840.75 and 754,039.13 is: 1,489,036.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,840.75 : 754,039.13 = 754,039.13 : x
  2. Step 2: Convert to fraction form
    381,840.75/754,039.13 = 754,039.13/x
  3. Step 3: Cross multiply
    381,840.75x = 754,039.13 × 754,039.13
  4. Step 4: Simplify right side
    381,840.75x = 568,575,002,030.77
  5. Step 5: Solve for x
    x = 568,575,002,030.77/381,840.75
  6. Step 6: Final answer
    x = 1,489,036.99

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.