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Finding the Third Proportional to 393,105.66 and 850,477.22

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Solution

The third proportional to 393,105.66 and 850,477.22 is: 1,839,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,105.66 : 850,477.22 = 850,477.22 : x
  2. Step 2: Convert to fraction form
    393,105.66/850,477.22 = 850,477.22/x
  3. Step 3: Cross multiply
    393,105.66x = 850,477.22 × 850,477.22
  4. Step 4: Simplify right side
    393,105.66x = 723,311,499,612.74
  5. Step 5: Solve for x
    x = 723,311,499,612.74/393,105.66
  6. Step 6: Final answer
    x = 1,839,992.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.