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Finding the Third Proportional to 420,601 and 635,921

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Solution

The third proportional to 420,601 and 635,921 is: 961,470.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,601 : 635,921 = 635,921 : x
  2. Step 2: Convert to fraction form
    420,601/635,921 = 635,921/x
  3. Step 3: Cross multiply
    420,601x = 635,921 × 635,921
  4. Step 4: Simplify right side
    420,601x = 404,395,518,241
  5. Step 5: Solve for x
    x = 404,395,518,241/420,601
  6. Step 6: Final answer
    x = 961,470.65

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Why These Related Problems?

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