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Finding the Third Proportional to 410,295.38 and 853,206.75

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Solution

The third proportional to 410,295.38 and 853,206.75 is: 1,774,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,295.38 : 853,206.75 = 853,206.75 : x
  2. Step 2: Convert to fraction form
    410,295.38/853,206.75 = 853,206.75/x
  3. Step 3: Cross multiply
    410,295.38x = 853,206.75 × 853,206.75
  4. Step 4: Simplify right side
    410,295.38x = 727,961,758,245.56
  5. Step 5: Solve for x
    x = 727,961,758,245.56/410,295.38
  6. Step 6: Final answer
    x = 1,774,238.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.