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Finding the Third Proportional to 492 and 700

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Solution

The third proportional to 492 and 700 is: 995.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    492 : 700 = 700 : x
  2. Step 2: Convert to fraction form
    492/700 = 700/x
  3. Step 3: Cross multiply
    492x = 700 × 700
  4. Step 4: Simplify right side
    492x = 490,000
  5. Step 5: Solve for x
    x = 490,000/492
  6. Step 6: Final answer
    x = 995.93

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.