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Finding the Third Proportional to 495.88 and 742.38

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Solution

The third proportional to 495.88 and 742.38 is: 1,111.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.88 : 742.38 = 742.38 : x
  2. Step 2: Convert to fraction form
    495.88/742.38 = 742.38/x
  3. Step 3: Cross multiply
    495.88x = 742.38 × 742.38
  4. Step 4: Simplify right side
    495.88x = 551,120.64
  5. Step 5: Solve for x
    x = 551,120.64/495.88
  6. Step 6: Final answer
    x = 1,111.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.