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Finding the Third Proportional to 802 and 1,978

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Solution

The third proportional to 802 and 1,978 is: 4,878.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    802 : 1,978 = 1,978 : x
  2. Step 2: Convert to fraction form
    802/1,978 = 1,978/x
  3. Step 3: Cross multiply
    802x = 1,978 × 1,978
  4. Step 4: Simplify right side
    802x = 3,912,484
  5. Step 5: Solve for x
    x = 3,912,484/802
  6. Step 6: Final answer
    x = 4,878.41

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These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.