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Finding the Third Proportional to 420.75 and 635.06

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Solution

The third proportional to 420.75 and 635.06 is: 958.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.75 : 635.06 = 635.06 : x
  2. Step 2: Convert to fraction form
    420.75/635.06 = 635.06/x
  3. Step 3: Cross multiply
    420.75x = 635.06 × 635.06
  4. Step 4: Simplify right side
    420.75x = 403,304.38
  5. Step 5: Solve for x
    x = 403,304.38/420.75
  6. Step 6: Final answer
    x = 958.54

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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.