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Finding the Third Proportional to 404,860.50 and 576,733.50

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Solution

The third proportional to 404,860.50 and 576,733.50 is: 821,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,860.50 : 576,733.50 = 576,733.50 : x
  2. Step 2: Convert to fraction form
    404,860.50/576,733.50 = 576,733.50/x
  3. Step 3: Cross multiply
    404,860.50x = 576,733.50 × 576,733.50
  4. Step 4: Simplify right side
    404,860.50x = 332,621,530,022.25
  5. Step 5: Solve for x
    x = 332,621,530,022.25/404,860.50
  6. Step 6: Final answer
    x = 821,570.71

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.