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Finding the Third Proportional to 363,684.09 and 790,320.38

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Solution

The third proportional to 363,684.09 and 790,320.38 is: 1,717,441.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,684.09 : 790,320.38 = 790,320.38 : x
  2. Step 2: Convert to fraction form
    363,684.09/790,320.38 = 790,320.38/x
  3. Step 3: Cross multiply
    363,684.09x = 790,320.38 × 790,320.38
  4. Step 4: Simplify right side
    363,684.09x = 624,606,295,140.14
  5. Step 5: Solve for x
    x = 624,606,295,140.14/363,684.09
  6. Step 6: Final answer
    x = 1,717,441.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.