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Finding the Third Proportional to 388,807.59 and 796,986.84

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Solution

The third proportional to 388,807.59 and 796,986.84 is: 1,633,682.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,807.59 : 796,986.84 = 796,986.84 : x
  2. Step 2: Convert to fraction form
    388,807.59/796,986.84 = 796,986.84/x
  3. Step 3: Cross multiply
    388,807.59x = 796,986.84 × 796,986.84
  4. Step 4: Simplify right side
    388,807.59x = 635,188,029,110.59
  5. Step 5: Solve for x
    x = 635,188,029,110.59/388,807.59
  6. Step 6: Final answer
    x = 1,633,682.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.