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Finding the Third Proportional to 401,708.25 and 550,830.38

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Solution

The third proportional to 401,708.25 and 550,830.38 is: 755,309.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,708.25 : 550,830.38 = 550,830.38 : x
  2. Step 2: Convert to fraction form
    401,708.25/550,830.38 = 550,830.38/x
  3. Step 3: Cross multiply
    401,708.25x = 550,830.38 × 550,830.38
  4. Step 4: Simplify right side
    401,708.25x = 303,414,102,022.64
  5. Step 5: Solve for x
    x = 303,414,102,022.64/401,708.25
  6. Step 6: Final answer
    x = 755,309.61

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.