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Finding the Third Proportional to 396,970 and 865,314

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Solution

The third proportional to 396,970 and 865,314 is: 1,886,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,970 : 865,314 = 865,314 : x
  2. Step 2: Convert to fraction form
    396,970/865,314 = 865,314/x
  3. Step 3: Cross multiply
    396,970x = 865,314 × 865,314
  4. Step 4: Simplify right side
    396,970x = 748,768,318,596
  5. Step 5: Solve for x
    x = 748,768,318,596/396,970
  6. Step 6: Final answer
    x = 1,886,208.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.