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Finding the Third Proportional to 295,666 and 635,612

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Solution

The third proportional to 295,666 and 635,612 is: 1,366,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,666 : 635,612 = 635,612 : x
  2. Step 2: Convert to fraction form
    295,666/635,612 = 635,612/x
  3. Step 3: Cross multiply
    295,666x = 635,612 × 635,612
  4. Step 4: Simplify right side
    295,666x = 404,002,614,544
  5. Step 5: Solve for x
    x = 404,002,614,544/295,666
  6. Step 6: Final answer
    x = 1,366,415.53

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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.