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Finding the Third Proportional to 396,466 and 638,371

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Solution

The third proportional to 396,466 and 638,371 is: 1,027,875.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,466 : 638,371 = 638,371 : x
  2. Step 2: Convert to fraction form
    396,466/638,371 = 638,371/x
  3. Step 3: Cross multiply
    396,466x = 638,371 × 638,371
  4. Step 4: Simplify right side
    396,466x = 407,517,533,641
  5. Step 5: Solve for x
    x = 407,517,533,641/396,466
  6. Step 6: Final answer
    x = 1,027,875.11

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.