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Finding the Third Proportional to 499.92 and 701.79

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Solution

The third proportional to 499.92 and 701.79 is: 985.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499.92 : 701.79 = 701.79 : x
  2. Step 2: Convert to fraction form
    499.92/701.79 = 701.79/x
  3. Step 3: Cross multiply
    499.92x = 701.79 × 701.79
  4. Step 4: Simplify right side
    499.92x = 492,507.89
  5. Step 5: Solve for x
    x = 492,507.89/499.92
  6. Step 6: Final answer
    x = 985.17

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.