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Finding the Third Proportional to 622.97 and 978.19

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Solution

The third proportional to 622.97 and 978.19 is: 1,535.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.97 : 978.19 = 978.19 : x
  2. Step 2: Convert to fraction form
    622.97/978.19 = 978.19/x
  3. Step 3: Cross multiply
    622.97x = 978.19 × 978.19
  4. Step 4: Simplify right side
    622.97x = 956,850.79
  5. Step 5: Solve for x
    x = 956,850.79/622.97
  6. Step 6: Final answer
    x = 1,535.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.