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Finding the Third Proportional to 425,520 and 635,268

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Solution

The third proportional to 425,520 and 635,268 is: 948,405.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,520 : 635,268 = 635,268 : x
  2. Step 2: Convert to fraction form
    425,520/635,268 = 635,268/x
  3. Step 3: Cross multiply
    425,520x = 635,268 × 635,268
  4. Step 4: Simplify right side
    425,520x = 403,565,431,824
  5. Step 5: Solve for x
    x = 403,565,431,824/425,520
  6. Step 6: Final answer
    x = 948,405.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.