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Finding the Third Proportional to 295,742 and 635,764

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Solution

The third proportional to 295,742 and 635,764 is: 1,366,717.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,742 : 635,764 = 635,764 : x
  2. Step 2: Convert to fraction form
    295,742/635,764 = 635,764/x
  3. Step 3: Cross multiply
    295,742x = 635,764 × 635,764
  4. Step 4: Simplify right side
    295,742x = 404,195,863,696
  5. Step 5: Solve for x
    x = 404,195,863,696/295,742
  6. Step 6: Final answer
    x = 1,366,717.83

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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.