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Finding the Third Proportional to 295,668 and 635,616

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Solution

The third proportional to 295,668 and 635,616 is: 1,366,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,668 : 635,616 = 635,616 : x
  2. Step 2: Convert to fraction form
    295,668/635,616 = 635,616/x
  3. Step 3: Cross multiply
    295,668x = 635,616 × 635,616
  4. Step 4: Simplify right side
    295,668x = 404,007,699,456
  5. Step 5: Solve for x
    x = 404,007,699,456/295,668
  6. Step 6: Final answer
    x = 1,366,423.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.