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Finding the Third Proportional to 496.92 and 1,068.82

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Solution

The third proportional to 496.92 and 1,068.82 is: 2,298.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.92 : 1,068.82 = 1,068.82 : x
  2. Step 2: Convert to fraction form
    496.92/1,068.82 = 1,068.82/x
  3. Step 3: Cross multiply
    496.92x = 1,068.82 × 1,068.82
  4. Step 4: Simplify right side
    496.92x = 1,142,376.86
  5. Step 5: Solve for x
    x = 1,142,376.86/496.92
  6. Step 6: Final answer
    x = 2,298.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.