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Finding the Third Proportional to 495.28 and 1,071.56

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Solution

The third proportional to 495.28 and 1,071.56 is: 2,318.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.28 : 1,071.56 = 1,071.56 : x
  2. Step 2: Convert to fraction form
    495.28/1,071.56 = 1,071.56/x
  3. Step 3: Cross multiply
    495.28x = 1,071.56 × 1,071.56
  4. Step 4: Simplify right side
    495.28x = 1,148,246.19
  5. Step 5: Solve for x
    x = 1,148,246.19/495.28
  6. Step 6: Final answer
    x = 2,318.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.