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Finding the Third Proportional to 420,158.25 and 635,239.75

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Solution

The third proportional to 420,158.25 and 635,239.75 is: 960,422.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,158.25 : 635,239.75 = 635,239.75 : x
  2. Step 2: Convert to fraction form
    420,158.25/635,239.75 = 635,239.75/x
  3. Step 3: Cross multiply
    420,158.25x = 635,239.75 × 635,239.75
  4. Step 4: Simplify right side
    420,158.25x = 403,529,539,980.06
  5. Step 5: Solve for x
    x = 403,529,539,980.06/420,158.25
  6. Step 6: Final answer
    x = 960,422.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.