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Finding the Third Proportional to 410,294 and 853,204

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Solution

The third proportional to 410,294 and 853,204 is: 1,774,232.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,294 : 853,204 = 853,204 : x
  2. Step 2: Convert to fraction form
    410,294/853,204 = 853,204/x
  3. Step 3: Cross multiply
    410,294x = 853,204 × 853,204
  4. Step 4: Simplify right side
    410,294x = 727,957,065,616
  5. Step 5: Solve for x
    x = 727,957,065,616/410,294
  6. Step 6: Final answer
    x = 1,774,232.78

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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.