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Finding the Third Proportional to 295,662 and 635,604

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Solution

The third proportional to 295,662 and 635,604 is: 1,366,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,662 : 635,604 = 635,604 : x
  2. Step 2: Convert to fraction form
    295,662/635,604 = 635,604/x
  3. Step 3: Cross multiply
    295,662x = 635,604 × 635,604
  4. Step 4: Simplify right side
    295,662x = 403,992,444,816
  5. Step 5: Solve for x
    x = 403,992,444,816/295,662
  6. Step 6: Final answer
    x = 1,366,399.62

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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.