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Finding the Third Proportional to 420,604 and 635,922

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Solution

The third proportional to 420,604 and 635,922 is: 961,466.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,604 : 635,922 = 635,922 : x
  2. Step 2: Convert to fraction form
    420,604/635,922 = 635,922/x
  3. Step 3: Cross multiply
    420,604x = 635,922 × 635,922
  4. Step 4: Simplify right side
    420,604x = 404,396,790,084
  5. Step 5: Solve for x
    x = 404,396,790,084/420,604
  6. Step 6: Final answer
    x = 961,466.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.