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Finding the Third Proportional to 384,825.94 and 612,451.13

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Solution

The third proportional to 384,825.94 and 612,451.13 is: 974,716.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,825.94 : 612,451.13 = 612,451.13 : x
  2. Step 2: Convert to fraction form
    384,825.94/612,451.13 = 612,451.13/x
  3. Step 3: Cross multiply
    384,825.94x = 612,451.13 × 612,451.13
  4. Step 4: Simplify right side
    384,825.94x = 375,096,380,513.77
  5. Step 5: Solve for x
    x = 375,096,380,513.77/384,825.94
  6. Step 6: Final answer
    x = 974,716.99

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.