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Finding the Third Proportional to 295,670 and 635,620

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Solution

The third proportional to 295,670 and 635,620 is: 1,366,431.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,670 : 635,620 = 635,620 : x
  2. Step 2: Convert to fraction form
    295,670/635,620 = 635,620/x
  3. Step 3: Cross multiply
    295,670x = 635,620 × 635,620
  4. Step 4: Simplify right side
    295,670x = 404,012,784,400
  5. Step 5: Solve for x
    x = 404,012,784,400/295,670
  6. Step 6: Final answer
    x = 1,366,431.44

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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.