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Finding the Third Proportional to 396,986 and 865,352

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Solution

The third proportional to 396,986 and 865,352 is: 1,886,298.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,986 : 865,352 = 865,352 : x
  2. Step 2: Convert to fraction form
    396,986/865,352 = 865,352/x
  3. Step 3: Cross multiply
    396,986x = 865,352 × 865,352
  4. Step 4: Simplify right side
    396,986x = 748,834,083,904
  5. Step 5: Solve for x
    x = 748,834,083,904/396,986
  6. Step 6: Final answer
    x = 1,886,298.47

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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.