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Finding the Third Proportional to 1,708 and 1,978

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Solution

The third proportional to 1,708 and 1,978 is: 2,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708 : 1,978 = 1,978 : x
  2. Step 2: Convert to fraction form
    1,708/1,978 = 1,978/x
  3. Step 3: Cross multiply
    1,708x = 1,978 × 1,978
  4. Step 4: Simplify right side
    1,708x = 3,912,484
  5. Step 5: Solve for x
    x = 3,912,484/1,708
  6. Step 6: Final answer
    x = 2,290.68

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These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.