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Finding the Third Proportional to 386,007.19 and 850,542.19

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Solution

The third proportional to 386,007.19 and 850,542.19 is: 1,874,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,007.19 : 850,542.19 = 850,542.19 : x
  2. Step 2: Convert to fraction form
    386,007.19/850,542.19 = 850,542.19/x
  3. Step 3: Cross multiply
    386,007.19x = 850,542.19 × 850,542.19
  4. Step 4: Simplify right side
    386,007.19x = 723,422,012,717.29
  5. Step 5: Solve for x
    x = 723,422,012,717.29/386,007.19
  6. Step 6: Final answer
    x = 1,874,115.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.