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Finding the Third Proportional to 498.94 and 651.94

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Solution

The third proportional to 498.94 and 651.94 is: 851.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.94 : 651.94 = 651.94 : x
  2. Step 2: Convert to fraction form
    498.94/651.94 = 651.94/x
  3. Step 3: Cross multiply
    498.94x = 651.94 × 651.94
  4. Step 4: Simplify right side
    498.94x = 425,022.50
  5. Step 5: Solve for x
    x = 425,022.50/498.94
  6. Step 6: Final answer
    x = 851.86

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.