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Finding the Third Proportional to 395,511.75 and 856,633.50

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Solution

The third proportional to 395,511.75 and 856,633.50 is: 1,855,370.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,511.75 : 856,633.50 = 856,633.50 : x
  2. Step 2: Convert to fraction form
    395,511.75/856,633.50 = 856,633.50/x
  3. Step 3: Cross multiply
    395,511.75x = 856,633.50 × 856,633.50
  4. Step 4: Simplify right side
    395,511.75x = 733,820,953,322.25
  5. Step 5: Solve for x
    x = 733,820,953,322.25/395,511.75
  6. Step 6: Final answer
    x = 1,855,370.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.