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Finding the Third Proportional to 677,629.13 and 903,382.88

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Solution

The third proportional to 677,629.13 and 903,382.88 is: 1,204,347.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,629.13 : 903,382.88 = 903,382.88 : x
  2. Step 2: Convert to fraction form
    677,629.13/903,382.88 = 903,382.88/x
  3. Step 3: Cross multiply
    677,629.13x = 903,382.88 × 903,382.88
  4. Step 4: Simplify right side
    677,629.13x = 816,100,618,843.27
  5. Step 5: Solve for x
    x = 816,100,618,843.27/677,629.13
  6. Step 6: Final answer
    x = 1,204,347.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.